101002121011121 has 16 divisors (see below), whose sum is σ = 110360653742976. Its totient is φ = 91673013600000.

The previous prime is 101002121011091. The next prime is 101002121011157. The reversal of 101002121011121 is 121110121200101.

It is a cyclic number.

It is not a de Polignac number, because 101002121011121 - 2¹⁰ = 101002121010097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002121011096 and 101002121011105.

It is not an unprimeable number, because it can be changed into a prime (101002121011621) 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, 630863801 + ... + 631023881.

It is an arithmetic number, because the mean of its divisors is an integer number (6897540858936).

Almost surely, 2^{101002121011121} is an apocalyptic number.

101002121011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002121011121 is a deficient number, since it is larger than the sum of its proper divisors (9358532731855).

101002121011121 is a wasteful number, since it uses less digits than its factorization.

101002121011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251624.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101002121011121 its reverse (121110121200101), we get a palindrome (222112242211222).

The spelling of 101002121011121 in words is "one hundred one trillion, two billion, one hundred twenty-one million, eleven thousand, one hundred twenty-one".