102120122002100 has 18 divisors (see below), whose sum is σ = 221600664744774. Its totient is φ = 40848048800800.

The previous prime is 102120122002043. The next prime is 102120122002103. The reversal of 102120122002100 is 1200221021201.

It can be written as a sum of positive squares in 3 ways, for example, as 1616208775204 + 100503913226896 = 1271302^2 + 10025164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120122002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510600609911 + ... + 510600610110.

Almost surely, 2^{102120122002100} is an apocalyptic number.

102120122002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120122002100 is an abundant number, since it is smaller than the sum of its proper divisors (119480542742674).

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

102120122002100 is a wasteful number, since it uses less digits than its factorization.

102120122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021201220035 (or 1021201220028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120122002100 its reverse (1200221021201), we get a palindrome (103320343023301).

The spelling of 102120122002100 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, two thousand, one hundred".