100121231132010 has 128 divisors (see below), whose sum is σ = 291268457521920. Its totient is φ = 24271255756800.

The previous prime is 100121231131973. The next prime is 100121231132099. The reversal of 100121231132010 is 10231132121001.

100121231132010 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 2 + 311 + 320 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137066550 + ... + 137795070.

It is an arithmetic number, because the mean of its divisors is an integer number (2275534824390).

Almost surely, 2^{100121231132010} is an apocalyptic number.

100121231132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121231132010 is an abundant number, since it is smaller than the sum of its proper divisors (191147226389910).

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

100121231132010 is a wasteful number, since it uses less digits than its factorization.

100121231132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774821 (or 774815 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100121231132010 its reverse (10231132121001), we get a palindrome (110352363253011).

The spelling of 100121231132010 in words is "one hundred trillion, one hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, ten".