100102022022201 has 16 divisors (see below), whose sum is σ = 133624182682368. Its totient is φ = 66657284553600.

The previous prime is 100102022022199. The next prime is 100102022022203. The reversal of 100102022022201 is 102220220201001.

It is an interprime number because it is at equal distance from previous prime (100102022022199) and next prime (100102022022203).

It is not a de Polignac number, because 100102022022201 - 2¹ = 100102022022199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102022022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28802011 + ... + 32089871.

It is an arithmetic number, because the mean of its divisors is an integer number (8351511417648).

Almost surely, 2^{100102022022201} is an apocalyptic number.

It is an amenable number.

100102022022201 is a deficient number, since it is larger than the sum of its proper divisors (33522160660167).

100102022022201 is a wasteful number, since it uses less digits than its factorization.

100102022022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299632.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100102022022201 its reverse (102220220201001), we get a palindrome (202322242223202).

The spelling of 100102022022201 in words is "one hundred trillion, one hundred two billion, twenty-two million, twenty-two thousand, two hundred one".