101100122101120 has 64 divisors (see below), whose sum is σ = 241780983204240. Its totient is φ = 40425240360960.

The previous prime is 101100122101103. The next prime is 101100122101127. The reversal of 101100122101120 is 21101221001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101100122101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101100122101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100122101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27173607 + ... + 30669286.

Almost surely, 2^{101100122101120} is an apocalyptic number.

101100122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100122101120 is an abundant number, since it is smaller than the sum of its proper divisors (140680861103120).

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

101100122101120 is an equidigital number, since it uses as much as digits as its factorization.

101100122101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57845643 (or 57845631 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100122101120 its reverse (21101221001101), we get a palindrome (122201343102221).

The spelling of 101100122101120 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".