102101000220001 has 4 divisors (see below), whose sum is σ = 102101064516400. Its totient is φ = 102100935923604.

The previous prime is 102101000219951. The next prime is 102101000220013. The reversal of 102101000220001 is 100022000101201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102101000220001 - 2²⁵ = 102100966665569 is a prime.

It is a super-2 number, since 2×102101000220001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102101000220001.

It is not an unprimeable number, because it can be changed into a prime (102101000220041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29704311 + ... + 32962828.

It is an arithmetic number, because the mean of its divisors is an integer number (25525266129100).

Almost surely, 2^{102101000220001} is an apocalyptic number.

It is an amenable number.

102101000220001 is a deficient number, since it is larger than the sum of its proper divisors (64296399).

102101000220001 is an equidigital number, since it uses as much as digits as its factorization.

102101000220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64296398.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101000220001 its reverse (100022000101201), we get a palindrome (202123000321202).

The spelling of 102101000220001 in words is "one hundred two trillion, one hundred one billion, two hundred twenty thousand, one".