101001121099942 has 64 divisors (see below), whose sum is σ = 178076077724160. Its totient is φ = 42064048889856.

The previous prime is 101001121099909. The next prime is 101001121099943. The reversal of 101001121099942 is 249990121100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001121099895 and 101001121099904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001121099943) 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, 127553784 + ... + 128343172.

It is an arithmetic number, because the mean of its divisors is an integer number (2782438714440).

Almost surely, 2^{101001121099942} is an apocalyptic number.

101001121099942 is a deficient number, since it is larger than the sum of its proper divisors (77074956624218).

101001121099942 is a wasteful number, since it uses less digits than its factorization.

101001121099942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790525.

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 101001121099942 in words is "one hundred one trillion, one billion, one hundred twenty-one million, ninety-nine thousand, nine hundred forty-two".