101200222002121 has 16 divisors (see below), whose sum is σ = 114050365083648. Its totient is φ = 88963059027600.

The previous prime is 101200222002107. The next prime is 101200222002137. The reversal of 101200222002121 is 121200222002101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101200222002121 - 2⁹ = 101200222001609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200222002095 and 101200222002104.

It is not an unprimeable number, because it can be changed into a prime (101200222002821) 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, 115219101 + ... + 116094106.

It is an arithmetic number, because the mean of its divisors is an integer number (7128147817728).

Almost surely, 2^{101200222002121} is an apocalyptic number.

101200222002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200222002121 is a deficient number, since it is larger than the sum of its proper divisors (12850143081527).

101200222002121 is a wasteful number, since it uses less digits than its factorization.

101200222002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231314532.

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

Adding to 101200222002121 its reverse (121200222002101), we get a palindrome (222400444004222).

The spelling of 101200222002121 in words is "one hundred one trillion, two hundred billion, two hundred twenty-two million, two thousand, one hundred twenty-one".