101002101121 has 16 divisors (see below), whose sum is σ = 110757124800. Its totient is φ = 91770105600.

The previous prime is 101002101097. The next prime is 101002101131. The reversal of 101002101121 is 121101200101.

It is a cyclic number.

It is not a de Polignac number, because 101002101121 - 2⁷ = 101002100993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002101098 and 101002101107.

It is not an unprimeable number, because it can be changed into a prime (101002101131) 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, 1052820 + ... + 1144741.

It is an arithmetic number, because the mean of its divisors is an integer number (6922320300).

Almost surely, 2^101002101121 is an apocalyptic number.

It is an amenable number.

101002101121 is a deficient number, since it is larger than the sum of its proper divisors (9755023679).

101002101121 is a wasteful number, since it uses less digits than its factorization.

101002101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197680.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101002101121 its reverse (121101200101), we get a palindrome (222103301222).

The spelling of 101002101121 in words is "one hundred one billion, two million, one hundred one thousand, one hundred twenty-one".