102100111020 has 72 divisors (see below), whose sum is σ = 318074060304. Its totient is φ = 26490837888.

The previous prime is 102100111019. The next prime is 102100111021. The reversal of 102100111020 is 20111001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102100111019) and next prime (102100111021).

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

It is a junction number, because it is equal to n+sod(n) for n = 102100110993 and 102100111011.

It is not an unprimeable number, because it can be changed into a prime (102100111021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7658514 + ... + 7671833.

It is an arithmetic number, because the mean of its divisors is an integer number (4417695282).

Almost surely, 2^102100111020 is an apocalyptic number.

102100111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100111020 is an abundant number, since it is smaller than the sum of its proper divisors (215973949284).

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

102100111020 is a wasteful number, since it uses less digits than its factorization.

102100111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15330399 (or 15330394 counting only the distinct ones).

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

Adding to 102100111020 its reverse (20111001201), we get a palindrome (122211112221).

The spelling of 102100111020 in words is "one hundred two billion, one hundred million, one hundred eleven thousand, twenty".