101867472252 has 648 divisors, whose sum is σ = 349249380480. Its totient is φ = 24443078400.

The previous prime is 101867472247. The next prime is 101867472277. The reversal of 101867472252 is 252274768101.

It is a junction number, because it is equal to n+sod(n) for n = 101867472198 and 101867472207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 777614227 + ... + 777614357.

Almost surely, 2^101867472252 is an apocalyptic number.

101867472252 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 101867472252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174624690240).

101867472252 is an abundant number, since it is smaller than the sum of its proper divisors (247381908228).

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

101867472252 is a wasteful number, since it uses less digits than its factorization.

101867472252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 101867472252 in words is "one hundred one billion, eight hundred sixty-seven million, four hundred seventy-two thousand, two hundred fifty-two".