101022222002121 has 12 divisors (see below), whose sum is σ = 166766842670272. Its totient is φ = 57726984001176.

The previous prime is 101022222002081. The next prime is 101022222002161. The reversal of 101022222002121 is 121200222220101.

It is a happy number.

101022222002121 is a `hidden beast` number, since 1 + 0 + 10 + 222 + 220 + 0 + 212 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101022222002081) and next prime (101022222002161).

It is not a de Polignac number, because 101022222002121 - 2¹³ = 101022221993929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101022222002094 and 101022222002103.

It is not an unprimeable number, because it can be changed into a prime (101022222002161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801763666621 + ... + 801763666746.

Almost surely, 2^{101022222002121} is an apocalyptic number.

It is an amenable number.

101022222002121 is a deficient number, since it is larger than the sum of its proper divisors (65744620668151).

101022222002121 is a wasteful number, since it uses less digits than its factorization.

101022222002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603527333380 (or 1603527333377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101022222002121 its reverse (121200222220101), we get a palindrome (222222444222222).

The spelling of 101022222002121 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-two million, two thousand, one hundred twenty-one".