102100012001021 has 16 divisors (see below), whose sum is σ = 108249328219200. Its totient is φ = 96028290288000.

The previous prime is 102100012000993. The next prime is 102100012001023. The reversal of 102100012001021 is 120100210001201.

It is a cyclic number.

It is not a de Polignac number, because 102100012001021 - 2¹⁴ = 102100011984637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100012000993 and 102100012001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100012001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123453401 + ... + 124277681.

It is an arithmetic number, because the mean of its divisors is an integer number (6765583013700).

Almost surely, 2^{102100012001021} is an apocalyptic number.

It is an amenable number.

102100012001021 is a deficient number, since it is larger than the sum of its proper divisors (6149316218179).

102100012001021 is a wasteful number, since it uses less digits than its factorization.

102100012001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871340.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100012001021 its reverse (120100210001201), we get a palindrome (222200222002222).

The spelling of 102100012001021 in words is "one hundred two trillion, one hundred billion, twelve million, one thousand, twenty-one".