101222231120129 has 32 divisors (see below), whose sum is σ = 119326183603200. Its totient is φ = 84058803187200.

The previous prime is 101222231120093. The next prime is 101222231120159. The reversal of 101222231120129 is 921021132222101.

It is a cyclic number.

It is not a de Polignac number, because 101222231120129 - 2²⁴ = 101222214342913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222231120159) 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, 191870744 + ... + 192397574.

It is an arithmetic number, because the mean of its divisors is an integer number (3728943237600).

Almost surely, 2^{101222231120129} is an apocalyptic number.

It is an amenable number.

101222231120129 is a deficient number, since it is larger than the sum of its proper divisors (18103952483071).

101222231120129 is a wasteful number, since it uses less digits than its factorization.

101222231120129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531521.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 101222231120129 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred thirty-one million, one hundred twenty thousand, one hundred twenty-nine".