101051051000 has 128 divisors (see below), whose sum is σ = 245022148800. Its totient is φ = 38961395200.

The previous prime is 101051050987. The next prime is 101051051063. The reversal of 101051051000 is 150150101.

It is a super-2 number, since 2×101051051000² (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 19630427 + ... + 19635573.

Almost surely, 2^101051051000 is an apocalyptic number.

101051051000 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 101051051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122511074400).

101051051000 is an abundant number, since it is smaller than the sum of its proper divisors (143971097800).

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

101051051000 is a wasteful number, since it uses less digits than its factorization.

101051051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

The spelling of 101051051000 in words is "one hundred one billion, fifty-one million, fifty-one thousand".