10201100999958 has 48 divisors (see below), whose sum is σ = 25004718962496. Its totient is φ = 3091242725640.

The previous prime is 10201100999897. The next prime is 10201100999977. The reversal of 10201100999958 is 85999900110201.

It is a super-2 number, since 2×10201100999958² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 954081916 + ... + 954092607.

It is an arithmetic number, because the mean of its divisors is an integer number (520931645052).

Almost surely, 2^{10201100999958} is an apocalyptic number.

10201100999958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10201100999958 is an abundant number, since it is smaller than the sum of its proper divisors (14803617962538).

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

10201100999958 is a wasteful number, since it uses less digits than its factorization.

10201100999958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908174551 (or 1908174539 counting only the distinct ones).

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

The spelling of 10201100999958 in words is "ten trillion, two hundred one billion, one hundred million, nine hundred ninety-nine thousand, nine hundred fifty-eight".