101012111001000 has 192 divisors, whose sum is σ = 341432128739520. Its totient is φ = 26935679817600.

The previous prime is 101012111000981. The next prime is 101012111001013. The reversal of 101012111001000 is 100111210101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301899799 + ... + 302234201.

It is an arithmetic number, because the mean of its divisors is an integer number (1778292337185).

Almost surely, 2^{101012111001000} is an apocalyptic number.

101012111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012111001000 is an abundant number, since it is smaller than the sum of its proper divisors (240420017738520).

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

101012111001000 is a wasteful number, since it uses less digits than its factorization.

101012111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367993 (or 367976 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101012111001000 its reverse (100111210101), we get a palindrome (101112222211101).

The spelling of 101012111001000 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one thousand".