100102011111021 has 64 divisors (see below), whose sum is σ = 136729700352000. Its totient is φ = 65123214552000.

The previous prime is 100102011110977. The next prime is 100102011111029. The reversal of 100102011111021 is 120111110201001.

It is not a de Polignac number, because 100102011111021 - 2¹⁹ = 100102010586733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102011110988 and 100102011111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102011111029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26489019310 + ... + 26489023088.

It is an arithmetic number, because the mean of its divisors is an integer number (2136401568000).

Almost surely, 2^{100102011111021} is an apocalyptic number.

It is an amenable number.

100102011111021 is a deficient number, since it is larger than the sum of its proper divisors (36627689240979).

100102011111021 is a wasteful number, since it uses less digits than its factorization.

100102011111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100102011111021 its reverse (120111110201001), we get a palindrome (220213121312022).

The spelling of 100102011111021 in words is "one hundred trillion, one hundred two billion, eleven million, one hundred eleven thousand, twenty-one".