102100000100021 has 12 divisors (see below), whose sum is σ = 129566604951360. Its totient is φ = 79558441635960.

The previous prime is 102100000100017. The next prime is 102100000100047. The reversal of 102100000100021 is 120001000001201.

It is not a de Polignac number, because 102100000100021 - 2² = 102100000100017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100000099981 and 102100000100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100000100321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94712429981 + ... + 94712431058.

It is an arithmetic number, because the mean of its divisors is an integer number (10797217079280).

Almost surely, 2^{102100000100021} is an apocalyptic number.

102100000100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100000100021 is a deficient number, since it is larger than the sum of its proper divisors (27466604851339).

102100000100021 is a wasteful number, since it uses less digits than its factorization.

102100000100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189424861064 (or 189424861057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100000100021 its reverse (120001000001201), we get a palindrome (222101000101222).

The spelling of 102100000100021 in words is "one hundred two trillion, one hundred billion, one hundred thousand, twenty-one".