155190212100 has 864 divisors, whose sum is σ = 653468175360. Its totient is φ = 29828736000.

The previous prime is 155190212041. The next prime is 155190212123. The reversal of 155190212100 is 1212091551.

155190212100 is a `hidden beast` number, since 1 + 551 + 9 + 0 + 2 + 1 + 2 + 100 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56616730 + ... + 56619470.

Almost surely, 2^155190212100 is an apocalyptic number.

155190212100 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 155190212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326734087680).

155190212100 is an abundant number, since it is smaller than the sum of its proper divisors (498277963260).

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

155190212100 is a wasteful number, since it uses less digits than its factorization.

155190212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 155190212100 in words is "one hundred fifty-five billion, one hundred ninety million, two hundred twelve thousand, one hundred".