10212513300 has 216 divisors, whose sum is σ = 36759209760. Its totient is φ = 2345414400.

The previous prime is 10212513277. The next prime is 10212513317. The reversal of 10212513300 is 331521201.

It is a super-3 number, since 3×10212513300³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160954 + ... + 215246.

Almost surely, 2^10212513300 is an apocalyptic number.

10212513300 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 10212513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379604880).

10212513300 is an abundant number, since it is smaller than the sum of its proper divisors (26546696460).

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

10212513300 is a wasteful number, since it uses less digits than its factorization.

10212513300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54343 (or 54333 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10212513300 in words is "ten billion, two hundred twelve million, five hundred thirteen thousand, three hundred".