101016977152 has 144 divisors (see below), whose sum is σ = 261234319360. Its totient is φ = 37859291136.

The previous prime is 101016977147. The next prime is 101016977183. The reversal of 101016977152 is 251779610101.

It is a super-2 number, since 2×101016977152² (a number of 23 digits) contains 22 as substring.

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, 328513 + ... + 556735.

Almost surely, 2^101016977152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101016977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130617159680).

101016977152 is an abundant number, since it is smaller than the sum of its proper divisors (160217342208).

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

101016977152 is a wasteful number, since it uses less digits than its factorization.

101016977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228278 (or 228264 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 40.

The spelling of 101016977152 in words is "one hundred one billion, sixteen million, nine hundred seventy-seven thousand, one hundred fifty-two".