101072704776252 has 288 divisors, whose sum is σ = 273647887349760. Its totient is φ = 28748580864000.

The previous prime is 101072704776233. The next prime is 101072704776269. The reversal of 101072704776252 is 252677407270101.

It is a junction number, because it is equal to n+sod(n) for n = 101072704776195 and 101072704776204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5021238124 + ... + 5021258252.

It is an arithmetic number, because the mean of its divisors is an integer number (950166275520).

Almost surely, 2^{101072704776252} is an apocalyptic number.

101072704776252 is a gapful number since it is divisible by the number (12) 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 101072704776252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136823943674880).

101072704776252 is an abundant number, since it is smaller than the sum of its proper divisors (172575182573508).

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

101072704776252 is a wasteful number, since it uses less digits than its factorization.

101072704776252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20565 (or 20390 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 101072704776252 in words is "one hundred one trillion, seventy-two billion, seven hundred four million, seven hundred seventy-six thousand, two hundred fifty-two".