101023220222001 has 64 divisors (see below), whose sum is σ = 188956066406400. Its totient is φ = 51815296166400.

The previous prime is 101023220221993. The next prime is 101023220222009. The reversal of 101023220222001 is 100222022320101.

101023220222001 is a `hidden beast` number, since 1 + 0 + 10 + 232 + 202 + 220 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101023220221993) and next prime (101023220222009).

It is not a de Polignac number, because 101023220222001 - 2³ = 101023220221993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101023220222009) 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 63 ways as a sum of consecutive naturals, for example, 307381440 + ... + 307709921.

It is an arithmetic number, because the mean of its divisors is an integer number (2952438537600).

Almost surely, 2^{101023220222001} is an apocalyptic number.

101023220222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101023220222001 is a deficient number, since it is larger than the sum of its proper divisors (87932846184399).

101023220222001 is a wasteful number, since it uses less digits than its factorization.

101023220222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615091467 (or 615091461 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101023220222001 its reverse (100222022320101), we get a palindrome (201245242542102).

The spelling of 101023220222001 in words is "one hundred one trillion, twenty-three billion, two hundred twenty million, two hundred twenty-two thousand, one".