1012020100 has 72 divisors (see below), whose sum is σ = 2702896448. Its totient is φ = 320284800.

The previous prime is 1012020091. The next prime is 1012020131. The reversal of 1012020100 is 10202101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46506 + ... + 64705.

Almost surely, 2^1012020100 is an apocalyptic number.

1012020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012020100 is an abundant number, since it is smaller than the sum of its proper divisors (1690876348).

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

1012020100 is a wasteful number, since it uses less digits than its factorization.

1012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111245 (or 111238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1012020100 is about 31812.2633586483. The cubic root of 1012020100 is about 1003.9907527071.

Adding to 1012020100 its reverse (10202101), we get a palindrome (1022222201).

It can be divided in two parts, 101 and 2020100, that multiplied together give a triangular number (204030100 = T₂₀₂₀₀).

The spelling of 1012020100 in words is "one billion, twelve million, twenty thousand, one hundred".