10021010999958 has 256 divisors, whose sum is σ = 26953096826880. Its totient is φ = 2699796096000.

The previous prime is 10021010999939. The next prime is 10021011000031. The reversal of 10021010999958 is 85999901012001.

It is a super-2 number, since 2×10021010999958² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86529460 + ... + 86645192.

It is an arithmetic number, because the mean of its divisors is an integer number (105285534480).

Almost surely, 2^{10021010999958} is an apocalyptic number.

10021010999958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021010999958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476548413440).

10021010999958 is an abundant number, since it is smaller than the sum of its proper divisors (16932085826922).

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

10021010999958 is a wasteful number, since it uses less digits than its factorization.

10021010999958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115980 (or 115974 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 54.

The spelling of 10021010999958 in words is "ten trillion, twenty-one billion, ten million, nine hundred ninety-nine thousand, nine hundred fifty-eight".