101058270720 has 480 divisors, whose sum is σ = 376058368224. Its totient is φ = 23054254080.

The previous prime is 101058270689. The next prime is 101058270751. The reversal of 101058270720 is 27072850101.

It is an interprime number because it is at equal distance from previous prime (101058270689) and next prime (101058270751).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 15794562 + ... + 15800958.

Almost surely, 2^101058270720 is an apocalyptic number.

101058270720 is a gapful number since it is divisible by the number (10) 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 101058270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188029184112).

101058270720 is an abundant number, since it is smaller than the sum of its proper divisors (275000097504).

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

101058270720 is a wasteful number, since it uses less digits than its factorization.

101058270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 101058270720 in words is "one hundred one billion, fifty-eight million, two hundred seventy thousand, seven hundred twenty".