102100022001 has 24 divisors (see below), whose sum is σ = 149483932416. Its totient is φ = 67143299040.

The previous prime is 102100021951. The next prime is 102100022023. The reversal of 102100022001 is 100220001201.

It is not a de Polignac number, because 102100022001 - 2⁶ = 102100021937 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 (102100022501) 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, 383136 + ... + 592446.

It is an arithmetic number, because the mean of its divisors is an integer number (6228497184).

Almost surely, 2^102100022001 is an apocalyptic number.

It is an amenable number.

102100022001 is a deficient number, since it is larger than the sum of its proper divisors (47383910415).

102100022001 is a wasteful number, since it uses less digits than its factorization.

102100022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210053 (or 210050 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100022001 its reverse (100220001201), we get a palindrome (202320023202).

The spelling of 102100022001 in words is "one hundred two billion, one hundred million, twenty-two thousand, one".