101102111021121 has 16 divisors (see below), whose sum is σ = 154061102308224. Its totient is φ = 57772356372864.

The previous prime is 101102111021113. The next prime is 101102111021129. The reversal of 101102111021121 is 121120111201101.

It is an interprime number because it is at equal distance from previous prime (101102111021113) and next prime (101102111021129).

It is not a de Polignac number, because 101102111021121 - 2³ = 101102111021113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101102111021121.

It is not an unprimeable number, because it can be changed into a prime (101102111021129) 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, 7103356 + ... + 15895341.

It is an arithmetic number, because the mean of its divisors is an integer number (9628818894264).

Almost surely, 2^{101102111021121} is an apocalyptic number.

It is an amenable number.

101102111021121 is a deficient number, since it is larger than the sum of its proper divisors (52958991287103).

101102111021121 is a wasteful number, since it uses less digits than its factorization.

101102111021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23208040.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101102111021121 its reverse (121120111201101), we get a palindrome (222222222222222).

The spelling of 101102111021121 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, twenty-one thousand, one hundred twenty-one".