101202002222101 has 32 divisors (see below), whose sum is σ = 111807601606656. Its totient is φ = 90835833480000.

The previous prime is 101202002222093. The next prime is 101202002222137. The reversal of 101202002222101 is 101222200202101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101202002222101 - 2³ = 101202002222093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202002222141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2591780160 + ... + 2591819206.

It is an arithmetic number, because the mean of its divisors is an integer number (3493987550208).

Almost surely, 2^{101202002222101} is an apocalyptic number.

101202002222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202002222101 is a deficient number, since it is larger than the sum of its proper divisors (10605599384555).

101202002222101 is a wasteful number, since it uses less digits than its factorization.

101202002222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45633.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101202002222101 its reverse (101222200202101), we get a palindrome (202424202424202).

The spelling of 101202002222101 in words is "one hundred one trillion, two hundred two billion, two million, two hundred twenty-two thousand, one hundred one".