10102211220101 has 32 divisors (see below), whose sum is σ = 14153538889728. Its totient is φ = 6950398530240.

The previous prime is 10102211220053. The next prime is 10102211220107.

10102211220101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10102211220101 - 2¹⁰ = 10102211219077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102211220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219370871 + ... + 219416916.

It is an arithmetic number, because the mean of its divisors is an integer number (442298090304).

Almost surely, 2^{10102211220101} is an apocalyptic number.

10102211220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102211220101 is a deficient number, since it is larger than the sum of its proper divisors (4051327669627).

10102211220101 is a wasteful number, since it uses less digits than its factorization.

10102211220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438787841.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1010221 and 1220101, that added together give a palindrome (2230322).

The spelling of 10102211220101 in words is "ten trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, one hundred one".