10102111001001 has 24 divisors (see below), whose sum is σ = 14613533305280. Its totient is φ = 6724775786976.

The previous prime is 10102111000997. The next prime is 10102111001009. The reversal of 10102111001001 is 10010011120101.

It is not a de Polignac number, because 10102111001001 - 2² = 10102111000997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102111001009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60126930 + ... + 60294708.

Almost surely, 2^{10102111001001} is an apocalyptic number.

It is an amenable number.

10102111001001 is a deficient number, since it is larger than the sum of its proper divisors (4511422304279).

10102111001001 is a wasteful number, since it uses less digits than its factorization.

10102111001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177645 (or 177642 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10102111001001 its reverse (10010011120101), we get a palindrome (20112122121102).

The spelling of 10102111001001 in words is "ten trillion, one hundred two billion, one hundred eleven million, one thousand, one".