101553076371152 has 160 divisors (see below), whose sum is σ = 235413929115648. Its totient is φ = 41521455360000.

The previous prime is 101553076371137. The next prime is 101553076371167. The reversal of 101553076371152 is 251173670355101.

It is an interprime number because it is at equal distance from previous prime (101553076371137) and next prime (101553076371167).

It is a junction number, because it is equal to n+sod(n) for n = 101553076371097 and 101553076371106.

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, 4555777127 + ... + 4555799417.

Almost surely, 2^{101553076371152} 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 101553076371152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117706964557824).

101553076371152 is an abundant number, since it is smaller than the sum of its proper divisors (133860852744496).

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

101553076371152 is a wasteful number, since it uses less digits than its factorization.

101553076371152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40889 (or 40883 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 47.

The spelling of 101553076371152 in words is "one hundred one trillion, five hundred fifty-three billion, seventy-six million, three hundred seventy-one thousand, one hundred fifty-two".