101122101002000 has 160 divisors (see below), whose sum is σ = 263359503912960. Its totient is φ = 37332066393600.

The previous prime is 101122101001991. The next prime is 101122101002011. The reversal of 101122101002000 is 200101221101.

It is a super-2 number, since 2×101122101002000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184404221 + ... + 184951779.

It is an arithmetic number, because the mean of its divisors is an integer number (1645996899456).

Almost surely, 2^{101122101002000} is an apocalyptic number.

101122101002000 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 101122101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131679751956480).

101122101002000 is an abundant number, since it is smaller than the sum of its proper divisors (162237402910960).

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

101122101002000 is a wasteful number, since it uses less digits than its factorization.

101122101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554698 (or 554682 counting only the distinct ones).

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

Adding to 101122101002000 its reverse (200101221101), we get a palindrome (101322202223101).

The spelling of 101122101002000 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, two thousand".