102200120100 has 216 divisors, whose sum is σ = 345220529472. Its totient is φ = 25139577600.

The previous prime is 102200120069. The next prime is 102200120131. The reversal of 102200120100 is 1021002201.

It is an interprime number because it is at equal distance from previous prime (102200120069) and next prime (102200120131).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28206889 + ... + 28210511.

It is an arithmetic number, because the mean of its divisors is an integer number (1598243192).

Almost surely, 2^102200120100 is an apocalyptic number.

102200120100 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 102200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172610264736).

102200120100 is an abundant number, since it is smaller than the sum of its proper divisors (243020409372).

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

102200120100 is a wasteful number, since it uses less digits than its factorization.

102200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200120100 its reverse (1021002201), we get a palindrome (103221122301).

The spelling of 102200120100 in words is "one hundred two billion, two hundred million, one hundred twenty thousand, one hundred".