10100201010210 has 24 divisors (see below), whose sum is σ = 26260522626780. Its totient is φ = 2693386936032.

The previous prime is 10100201010161. The next prime is 10100201010233. The reversal of 10100201010210 is 1201010200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9535886048529 + 564314961681 = 3088023^2 + 751209^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100201010192 and 10100201010201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56112227745 + ... + 56112227924.

Almost surely, 2^{10100201010210} is an apocalyptic number.

10100201010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100201010210 is an abundant number, since it is smaller than the sum of its proper divisors (16160321616570).

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

10100201010210 is a wasteful number, since it uses less digits than its factorization.

10100201010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112224455682 (or 112224455679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100201010210 its reverse (1201010200101), we get a palindrome (11301211210311).

The spelling of 10100201010210 in words is "ten trillion, one hundred billion, two hundred one million, ten thousand, two hundred ten".