101151050000 has 960 divisors, whose sum is σ = 343706001408. Its totient is φ = 27820800000.

The previous prime is 101151049991. The next prime is 101151050017. The reversal of 101151050000 is 50151101.

It is a super-2 number, since 2×101151050000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2152149977 + ... + 2152150023.

Almost surely, 2^101151050000 is an apocalyptic number.

101151050000 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 101151050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171853000704).

101151050000 is an abundant number, since it is smaller than the sum of its proper divisors (242554951408).

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

101151050000 is a wasteful number, since it uses less digits than its factorization.

101151050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

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

The spelling of 101151050000 in words is "one hundred one billion, one hundred fifty-one million, fifty thousand".