101200111210121 has 32 divisors (see below), whose sum is σ = 126298543472640. Its totient is φ = 78777909388800.

The previous prime is 101200111210067. The next prime is 101200111210153. The reversal of 101200111210121 is 121012111002101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101200111210121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200111210096 and 101200111210105.

It is not an unprimeable number, because it can be changed into a prime (101200111210021) 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, 306886490 + ... + 307216076.

It is an arithmetic number, because the mean of its divisors is an integer number (3946829483520).

Almost surely, 2^{101200111210121} is an apocalyptic number.

101200111210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200111210121 is a deficient number, since it is larger than the sum of its proper divisors (25098432262519).

101200111210121 is a wasteful number, since it uses less digits than its factorization.

101200111210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333605.

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

Adding to 101200111210121 its reverse (121012111002101), we get a palindrome (222212222212222).

The spelling of 101200111210121 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, two hundred ten thousand, one hundred twenty-one".