1010112100 has 72 divisors (see below), whose sum is σ = 2247043680. Its totient is φ = 394014720.

The previous prime is 1010112053. The next prime is 1010112149. The reversal of 1010112100 is 12110101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716196 + ... + 717604.

It is an arithmetic number, because the mean of its divisors is an integer number (31208940).

Almost surely, 2^1010112100 is an apocalyptic number.

1010112100 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 1010112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123521840).

1010112100 is an abundant number, since it is smaller than the sum of its proper divisors (1236931580).

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

1010112100 is a wasteful number, since it uses less digits than its factorization.

1010112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1010112100 is about 31782.2607754703. The cubic root of 1010112100 is about 1003.3594017821.

Adding to 1010112100 its reverse (12110101), we get a palindrome (1022222201).

It can be divided in two parts, 10101 and 12100, that added together give a square (22201 = 149²).

The spelling of 1010112100 in words is "one billion, ten million, one hundred twelve thousand, one hundred".