101090908512 has 72 divisors (see below), whose sum is σ = 313611578280. Its totient is φ = 30633607680.

The previous prime is 101090908481. The next prime is 101090908547. The reversal of 101090908512 is 215809090101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15951837 + ... + 15958172.

It is an arithmetic number, because the mean of its divisors is an integer number (4355716365).

Almost surely, 2^101090908512 is an apocalyptic number.

101090908512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101090908512 is an abundant number, since it is smaller than the sum of its proper divisors (212520669768).

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

101090908512 is a wasteful number, since it uses less digits than its factorization.

101090908512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910036 (or 31910025 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

Adding to 101090908512 its reverse (215809090101), we get a palindrome (316899998613).

The spelling of 101090908512 in words is "one hundred one billion, ninety million, nine hundred eight thousand, five hundred twelve".