101012001000 has 128 divisors (see below), whose sum is σ = 315767237760. Its totient is φ = 26884416000.

The previous prime is 101012000939. The next prime is 101012001007. The reversal of 101012001000 is 100210101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101012001000.

It is not an unprimeable number, because it can be changed into a prime (101012001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530687 + ... + 1595313.

It is an arithmetic number, because the mean of its divisors is an integer number (2466931545).

Almost surely, 2^101012001000 is an apocalyptic number.

101012001000 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 101012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157883618880).

101012001000 is an abundant number, since it is smaller than the sum of its proper divisors (214755236760).

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

101012001000 is a wasteful number, since it uses less digits than its factorization.

101012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65172 (or 65158 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101012001000 its reverse (100210101), we get a palindrome (101112211101).

The spelling of 101012001000 in words is "one hundred one billion, twelve million, one thousand".