102112111021020 has 96 divisors (see below), whose sum is σ = 286731821376000. Its totient is φ = 27152046814464.

The previous prime is 102112111021013. The next prime is 102112111021027. The reversal of 102112111021020 is 20120111211201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102112111021013) and next prime (102112111021027).

It is a super-2 number, since 2×102112111021020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112111021027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69277681 + ... + 70736279.

It is an arithmetic number, because the mean of its divisors is an integer number (2986789806000).

Almost surely, 2^{102112111021020} is an apocalyptic number.

102112111021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112111021020 is an abundant number, since it is smaller than the sum of its proper divisors (184619710354980).

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

102112111021020 is a wasteful number, since it uses less digits than its factorization.

102112111021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461947 (or 1461945 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112111021020 its reverse (20120111211201), we get a palindrome (122232222232221).

The spelling of 102112111021020 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, twenty-one thousand, twenty".