1020010012011 has 32 divisors (see below), whose sum is σ = 1519843852800. Its totient is φ = 676085447520.

The previous prime is 1020010012001. The next prime is 1020010012013. The reversal of 1020010012011 is 1102100100201.

It is a happy number.

It is not a de Polignac number, because 1020010012011 - 2¹³ = 1020010003819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010011984 and 1020010012002.

It is not an unprimeable number, because it can be changed into a prime (1020010012013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22061260 + ... + 22107446.

It is an arithmetic number, because the mean of its divisors is an integer number (47495120400).

Almost surely, 2^{1020010012011} is an apocalyptic number.

1020010012011 is a deficient number, since it is larger than the sum of its proper divisors (499833840789).

1020010012011 is a wasteful number, since it uses less digits than its factorization.

1020010012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50896 (or 50890 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020010012011 its reverse (1102100100201), we get a palindrome (2122110112212).

The spelling of 1020010012011 in words is "one trillion, twenty billion, ten million, twelve thousand, eleven".