10202100122000 has 80 divisors (see below), whose sum is σ = 25967029670400. Its totient is φ = 3866058979200.

The previous prime is 10202100121987. The next prime is 10202100122023. The reversal of 10202100122000 is 22100120201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134200160 + ... + 134276159.

It is an arithmetic number, because the mean of its divisors is an integer number (324587870880).

Almost surely, 2^{10202100122000} is an apocalyptic number.

10202100122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202100122000 is an abundant number, since it is smaller than the sum of its proper divisors (15764929548400).

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

10202100122000 is a wasteful number, since it uses less digits than its factorization.

10202100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268476361 (or 268476345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202100122000 its reverse (22100120201), we get a palindrome (10224200242201).

The spelling of 10202100122000 in words is "ten trillion, two hundred two billion, one hundred million, one hundred twenty-two thousand".