101202011002101 has 16 divisors (see below), whose sum is σ = 137861496203264. Its totient is φ = 66019821202944.

The previous prime is 101202011002007. The next prime is 101202011002159. The reversal of 101202011002101 is 101200110202101.

It is not a de Polignac number, because 101202011002101 - 2¹⁸ = 101202010739957 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 (101202011002181) 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, 1819301476 + ... + 1819357101.

It is an arithmetic number, because the mean of its divisors is an integer number (8616343512704).

Almost surely, 2^{101202011002101} is an apocalyptic number.

It is an amenable number.

101202011002101 is a deficient number, since it is larger than the sum of its proper divisors (36659485201163).

101202011002101 is a wasteful number, since it uses less digits than its factorization.

101202011002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638658780.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101202011002101 its reverse (101200110202101), we get a palindrome (202402121204202).

The spelling of 101202011002101 in words is "one hundred one trillion, two hundred two billion, eleven million, two thousand, one hundred one".