10202156720106 has 64 divisors (see below), whose sum is σ = 22158053879808. Its totient is φ = 3112838926848.

The previous prime is 10202156720083. The next prime is 10202156720123. The reversal of 10202156720106 is 60102765120201.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19484280 + ... + 20001036.

It is an arithmetic number, because the mean of its divisors is an integer number (346219591872).

Almost surely, 2^{10202156720106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202156720106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079026939904).

10202156720106 is an abundant number, since it is smaller than the sum of its proper divisors (11955897159702).

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

10202156720106 is a wasteful number, since it uses less digits than its factorization.

10202156720106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518895.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10202156720106 in words is "ten trillion, two hundred two billion, one hundred fifty-six million, seven hundred twenty thousand, one hundred six".