100102101021 has 32 divisors (see below), whose sum is σ = 160159681920. Its totient is φ = 61426708992.

The previous prime is 100102101017. The next prime is 100102101053. The reversal of 100102101021 is 120101201001.

It is a happy number.

It is not a de Polignac number, because 100102101021 - 2² = 100102101017 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100102100994 and 100102101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280051 + ... + 527856.

It is an arithmetic number, because the mean of its divisors is an integer number (5004990060).

Almost surely, 2^100102101021 is an apocalyptic number.

It is an amenable number.

100102101021 is a deficient number, since it is larger than the sum of its proper divisors (60057580899).

100102101021 is a wasteful number, since it uses less digits than its factorization.

100102101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808282 (or 808276 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102101021 its reverse (120101201001), we get a palindrome (220203302022).

The spelling of 100102101021 in words is "one hundred billion, one hundred two million, one hundred one thousand, twenty-one".