102120110100 has 720 divisors, whose sum is σ = 370236303360. Its totient is φ = 24227942400.

The previous prime is 102120110093. The next prime is 102120110129. The reversal of 102120110100 is 1011021201.

It is a happy number.

It is a super-2 number, since 2×102120110100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 200628646 + ... + 200629154.

It is an arithmetic number, because the mean of its divisors is an integer number (514217088).

Almost surely, 2^102120110100 is an apocalyptic number.

102120110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185118151680).

102120110100 is an abundant number, since it is smaller than the sum of its proper divisors (268116193260).

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

102120110100 is a wasteful number, since it uses less digits than its factorization.

102120110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

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

Adding to 102120110100 its reverse (1011021201), we get a palindrome (103131131301).

It can be divided in two parts, 1021201 and 10100, that added together give a palindrome (1031301).

The spelling of 102120110100 in words is "one hundred two billion, one hundred twenty million, one hundred ten thousand, one hundred".