10202120010 has 24 divisors (see below), whose sum is σ = 26525512260. Its totient is φ = 2720565312.

The previous prime is 10202119997. The next prime is 10202120011. The reversal of 10202120010 is 1002120201.

It can be written as a sum of positive squares in 2 ways, for example, as 8174148921 + 2027971089 = 90411^2 + 45033^2 .

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 = 10202119974 and 10202120001.

It is not an unprimeable number, because it can be changed into a prime (10202120011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56678355 + ... + 56678534.

Almost surely, 2^10202120010 is an apocalyptic number.

10202120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202120010 is an abundant number, since it is smaller than the sum of its proper divisors (16323392250).

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

10202120010 is a wasteful number, since it uses less digits than its factorization.

10202120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113356902 (or 113356899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202120010 its reverse (1002120201), we get a palindrome (11204240211).

The spelling of 10202120010 in words is "ten billion, two hundred two million, one hundred twenty thousand, ten".