102011000102001 has 32 divisors (see below), whose sum is σ = 151191716659200. Its totient is φ = 67978397103120.

The previous prime is 102011000101961. The next prime is 102011000102009. The reversal of 102011000102001 is 100201000110201.

It is a happy number.

It is not a de Polignac number, because 102011000102001 - 2¹⁵ = 102011000069233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102011000102009) 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, 2668260556 + ... + 2668298786.

It is an arithmetic number, because the mean of its divisors is an integer number (4724741145600).

Almost surely, 2^{102011000102001} is an apocalyptic number.

It is an amenable number.

102011000102001 is a deficient number, since it is larger than the sum of its proper divisors (49180716557199).

102011000102001 is a wasteful number, since it uses less digits than its factorization.

102011000102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77706 (or 77700 counting only the distinct ones).

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

Adding to 102011000102001 its reverse (100201000110201), we get a palindrome (202212000212202).

The spelling of 102011000102001 in words is "one hundred two trillion, eleven billion, one hundred two thousand, one".