101202673417456 has 40 divisors (see below), whose sum is σ = 216074044247600. Its totient is φ = 45622672091136.

The previous prime is 101202673417427. The next prime is 101202673417477. The reversal of 101202673417456 is 654714376202101.

It is a super-2 number, since 2×101202673417456² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5657564481 + ... + 5657582368.

It is an arithmetic number, because the mean of its divisors is an integer number (5401851106190).

Almost surely, 2^{101202673417456} is an apocalyptic number.

101202673417456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101202673417456 is an abundant number, since it is smaller than the sum of its proper divisors (114871370830144).

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

101202673417456 is a wasteful number, since it uses less digits than its factorization.

101202673417456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11315146913 (or 11315146907 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 101202673417456 in words is "one hundred one trillion, two hundred two billion, six hundred seventy-three million, four hundred seventeen thousand, four hundred fifty-six".