102122120100 has 1296 divisors, whose sum is σ = 421124671296. Its totient is φ = 18869760000.

The previous prime is 102122120083. The next prime is 102122120131. The reversal of 102122120100 is 1021221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1011110050 + ... + 1011110150.

It is an arithmetic number, because the mean of its divisors is an integer number (324941876).

Almost surely, 2^102122120100 is an apocalyptic number.

102122120100 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 102122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210562335648).

102122120100 is an abundant number, since it is smaller than the sum of its proper divisors (319002551196).

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

102122120100 is a wasteful number, since it uses less digits than its factorization.

102122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122120100 its reverse (1021221201), we get a palindrome (103143341301).

102122120100 divided by its reverse (1021221201) gives a square (100 = 10²).

It can be divided in two parts, 102122 and 120100, that added together give a palindrome (222222).

The spelling of 102122120100 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".