101221100122000 has 40 divisors (see below), whose sum is σ = 244752620099832. Its totient is φ = 40488440048000.

The previous prime is 101221100121859. The next prime is 101221100122001. The reversal of 101221100122000 is 221001122101.

It can be written as a sum of positive squares in 4 ways, for example, as 9028149977344 + 92192950144656 = 3004688^2 + 9601716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101221100122000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221100122001) 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, 25305273031 + ... + 25305277030.

Almost surely, 2^{101221100122000} is an apocalyptic number.

101221100122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221100122000 is an abundant number, since it is smaller than the sum of its proper divisors (143531519977832).

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

101221100122000 is an equidigital number, since it uses as much as digits as its factorization.

101221100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50610550084 (or 50610550068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101221100122000 its reverse (221001122101), we get a palindrome (101442101244101).

The spelling of 101221100122000 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand".