101211001200120 has 128 divisors (see below), whose sum is σ = 347586534973440. Its totient is φ = 23095450598400.

The previous prime is 101211001200077. The next prime is 101211001200143. The reversal of 101211001200120 is 21002100112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101211001200096 and 101211001200105.

It is a congruent number.

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, 99735832 + ... + 100745511.

It is an arithmetic number, because the mean of its divisors is an integer number (2715519804480).

Almost surely, 2^{101211001200120} is an apocalyptic number.

101211001200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211001200120 is an abundant number, since it is smaller than the sum of its proper divisors (246375533773320).

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

101211001200120 is a wasteful number, since it uses less digits than its factorization.

101211001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200481965 (or 200481961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211001200120 its reverse (21002100112101), we get a palindrome (122213101312221).

The spelling of 101211001200120 in words is "one hundred one trillion, two hundred eleven billion, one million, two hundred thousand, one hundred twenty".