101102012121 has 32 divisors (see below), whose sum is σ = 148576757760. Its totient is φ = 60641432000.

The previous prime is 101102012119. The next prime is 101102012147. The reversal of 101102012121 is 121210201101.

It is a cyclic number.

It is not a de Polignac number, because 101102012121 - 2¹ = 101102012119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102012097 and 101102012106.

It is not an unprimeable number, because it can be changed into a prime (101102012101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10270720 + ... + 10280558.

It is an arithmetic number, because the mean of its divisors is an integer number (4643023680).

Almost surely, 2^101102012121 is an apocalyptic number.

101102012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102012121 is a deficient number, since it is larger than the sum of its proper divisors (47474745639).

101102012121 is a wasteful number, since it uses less digits than its factorization.

101102012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102012121 its reverse (121210201101), we get a palindrome (222312213222).

The spelling of 101102012121 in words is "one hundred one billion, one hundred two million, twelve thousand, one hundred twenty-one".