101020112120000 has 140 divisors (see below), whose sum is σ = 250601963058216. Its totient is φ = 40391120640000.

The previous prime is 101020112119963. The next prime is 101020112120069. The reversal of 101020112120000 is 21211020101.

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 19 ways as a sum of consecutive naturals, for example, 95192315 + ... + 96247685.

Almost surely, 2^{101020112120000} is an apocalyptic number.

101020112120000 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 101020112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125300981529108).

101020112120000 is an abundant number, since it is smaller than the sum of its proper divisors (149581850938216).

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

101020112120000 is an equidigital number, since it uses as much as digits as its factorization.

101020112120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057796 (or 1057771 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101020112120000 its reverse (21211020101), we get a palindrome (101041323140101).

The spelling of 101020112120000 in words is "one hundred one trillion, twenty billion, one hundred twelve million, one hundred twenty thousand".