101201120988 has 48 divisors (see below), whose sum is σ = 257713680000. Its totient is φ = 30653812800.

The previous prime is 101201120941. The next prime is 101201121013. The reversal of 101201120988 is 889021102101.

101201120988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101201120988² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145263 + ... + 472761.

It is an arithmetic number, because the mean of its divisors is an integer number (5369035000).

Almost surely, 2^101201120988 is an apocalyptic number.

It is an amenable number.

101201120988 is an abundant number, since it is smaller than the sum of its proper divisors (156512559012).

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

101201120988 is a wasteful number, since it uses less digits than its factorization.

101201120988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329858 (or 329856 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 101201120988 in words is "one hundred one billion, two hundred one million, one hundred twenty thousand, nine hundred eighty-eight".