100011002202101 has 16 divisors (see below), whose sum is σ = 101761956072000. Its totient is φ = 98261917123968.

The previous prime is 100011002202091. The next prime is 100011002202103. The reversal of 100011002202101 is 101202200110001.

It is a cyclic number.

It is not a de Polignac number, because 100011002202101 - 2²² = 100010998007797 is a prime.

It is a super-2 number, since 2×100011002202101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011002202103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2724112121 + ... + 2724148833.

It is an arithmetic number, because the mean of its divisors is an integer number (6360122254500).

Almost surely, 2^{100011002202101} is an apocalyptic number.

It is an amenable number.

100011002202101 is a deficient number, since it is larger than the sum of its proper divisors (1750953869899).

100011002202101 is a wasteful number, since it uses less digits than its factorization.

100011002202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60868.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100011002202101 its reverse (101202200110001), we get a palindrome (201213202312102).

The spelling of 100011002202101 in words is "one hundred trillion, eleven billion, two million, two hundred two thousand, one hundred one".