101534225100 has 144 divisors (see below), whose sum is σ = 366261724416. Its totient is φ = 21098016000.

The previous prime is 101534225081. The next prime is 101534225123. The reversal of 101534225100 is 1522435101.

It is a happy number.

It is a super-3 number, since 3×101534225100³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174611 + ... + 2220810.

Almost surely, 2^101534225100 is an apocalyptic number.

101534225100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101534225100 is an abundant number, since it is smaller than the sum of its proper divisors (264727499316).

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

101534225100 is a wasteful number, since it uses less digits than its factorization.

101534225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395456 (or 4395449 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 101534225100 in words is "one hundred one billion, five hundred thirty-four million, two hundred twenty-five thousand, one hundred".