1001012100 has 72 divisors (see below), whose sum is σ = 3159568608. Its totient is φ = 242668800.

The previous prime is 1001012087. The next prime is 1001012101. The reversal of 1001012100 is 12101001.

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 not an unprimeable number, because it can be changed into a prime (1001012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148369 + ... + 154968.

Almost surely, 2^1001012100 is an apocalyptic number.

1001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012100 is an abundant number, since it is smaller than the sum of its proper divisors (2158556508).

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

1001012100 is a wasteful number, since it uses less digits than its factorization.

1001012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303365 (or 303358 counting only the distinct ones).

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

The square root of 1001012100 is about 31638.7752607461. The cubic root of 1001012100 is about 1000.3372529144.

Adding to 1001012100 its reverse (12101001), we get a palindrome (1013113101).

It can be divided in two parts, 100101 and 2100, that added together give a palindrome (102201).

The spelling of 1001012100 in words is "one billion, one million, twelve thousand, one hundred".