101246601225 has 192 divisors, whose sum is σ = 221540106240. Its totient is φ = 39500390400.

The previous prime is 101246601187. The next prime is 101246601257. The reversal of 101246601225 is 522106642101.

It is not a de Polignac number, because 101246601225 - 2⁸ = 101246600969 is a prime.

It is a super-2 number, since 2×101246601225² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101246601192 and 101246601201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47024749 + ... + 47026901.

It is an arithmetic number, because the mean of its divisors is an integer number (1153854720).

Almost surely, 2^101246601225 is an apocalyptic number.

101246601225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101246601225 is an abundant number, since it is smaller than the sum of its proper divisors (120293505015).

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

101246601225 is a wasteful number, since it uses less digits than its factorization.

101246601225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 101246601225 in words is "one hundred one billion, two hundred forty-six million, six hundred one thousand, two hundred twenty-five".