102021211110252 has 96 divisors (see below), whose sum is σ = 273309066455040. Its totient is φ = 29014881730560.

The previous prime is 102021211110197. The next prime is 102021211110253. The reversal of 102021211110252 is 252011112120201.

It is a super-2 number, since 2×102021211110252² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102021211110253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28740477 + ... + 32094507.

It is an arithmetic number, because the mean of its divisors is an integer number (2846969442240).

Almost surely, 2^{102021211110252} is an apocalyptic number.

102021211110252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021211110252 is an abundant number, since it is smaller than the sum of its proper divisors (171287855344788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102021211110252 is a wasteful number, since it uses less digits than its factorization.

102021211110252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355711 (or 3355709 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 102021211110252 its reverse (252011112120201), we get a palindrome (354032323230453).

The spelling of 102021211110252 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred ten thousand, two hundred fifty-two".