1011022101121 has 8 divisors (see below), whose sum is σ = 1029243537000. Its totient is φ = 992953146240.

The previous prime is 1011022101101. The next prime is 1011022101137. The reversal of 1011022101121 is 1211012201101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12693402225 + 998328698896 = 112665^2 + 999164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011022101121 - 2⁷ = 1011022100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011022101101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38106870 + ... + 38133391.

It is an arithmetic number, because the mean of its divisors is an integer number (128655442125).

Almost surely, 2^{1011022101121} is an apocalyptic number.

It is an amenable number.

1011022101121 is a deficient number, since it is larger than the sum of its proper divisors (18221435879).

1011022101121 is an equidigital number, since it uses as much as digits as its factorization.

1011022101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76240499.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011022101121 its reverse (1211012201101), we get a palindrome (2222034302222).

The spelling of 1011022101121 in words is "one trillion, eleven billion, twenty-two million, one hundred one thousand, one hundred twenty-one".