101011122100000 has 144 divisors (see below), whose sum is σ = 284075600872896. Its totient is φ = 34632384480000.

The previous prime is 101011122099989. The next prime is 101011122100037. The reversal of 101011122100000 is 1221110101.

It is a super-2 number, since 2×101011122100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101011122100000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71450802 + ... + 72850801.

It is an arithmetic number, because the mean of its divisors is an integer number (1972747228284).

Almost surely, 2^{101011122100000} is an apocalyptic number.

101011122100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011122100000 is an abundant number, since it is smaller than the sum of its proper divisors (183064478772896).

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

101011122100000 is an frugal number, since it uses more digits than its factorization.

101011122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144301645 (or 144301617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011122100000 its reverse (1221110101), we get a palindrome (101012343210101).

The spelling of 101011122100000 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, one hundred thousand".