10101900 has 72 divisors (see below), whose sum is σ = 29553664. Its totient is φ = 2664000.

The previous prime is 10101887. The next prime is 10101907. The reversal of 10101900 is 910101.

It is a super-2 number, since 2×10101900² = 204096767220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10101907) 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, 45189 + ... + 45411.

Almost surely, 2^10101900 is an apocalyptic number.

10101900 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 10101900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776832).

10101900 is an abundant number, since it is smaller than the sum of its proper divisors (19451764).

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

10101900 is a wasteful number, since it uses less digits than its factorization.

10101900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 10101900 is about 3178.3486278255. The cubic root of 10101900 is about 216.1727869840.

The spelling of 10101900 in words is "ten million, one hundred one thousand, nine hundred".