101000110000120 has 256 divisors, whose sum is σ = 248658862694400. Its totient is φ = 36805375918080.

The previous prime is 101000110000117. The next prime is 101000110000169. The reversal of 101000110000120 is 21000011000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2157314952 + ... + 2157361768.

It is an arithmetic number, because the mean of its divisors is an integer number (971323682400).

Almost surely, 2^{101000110000120} is an apocalyptic number.

101000110000120 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 101000110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124329431347200).

101000110000120 is an abundant number, since it is smaller than the sum of its proper divisors (147658752694280).

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

101000110000120 is a wasteful number, since it uses less digits than its factorization.

101000110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48078 (or 48074 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000110000120 its reverse (21000011000101), we get a palindrome (122000121000221).

The spelling of 101000110000120 in words is "one hundred one trillion, one hundred ten million, one hundred twenty", and thus it is an aban number.