10214031900 has 144 divisors (see below), whose sum is σ = 30605818880. Its totient is φ = 2627251200.

The previous prime is 10214031887. The next prime is 10214031907. The reversal of 10214031900 is 913041201.

It is a super-2 number, since 2×10214031900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214031907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132471 + ... + 3135729.

Almost surely, 2^10214031900 is an apocalyptic number.

10214031900 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 10214031900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302909440).

10214031900 is an abundant number, since it is smaller than the sum of its proper divisors (20391786980).

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

10214031900 is a wasteful number, since it uses less digits than its factorization.

10214031900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 10214031900 in words is "ten billion, two hundred fourteen million, thirty-one thousand, nine hundred".