101201054952772 has 96 divisors (see below), whose sum is σ = 188767099745280. Its totient is φ = 47308375296000.

The previous prime is 101201054952763. The next prime is 101201054952773. The reversal of 101201054952772 is 277259450102101.

It is a super-3 number, since 3×101201054952772³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201054952773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21265190929 + ... + 21265195687.

It is an arithmetic number, because the mean of its divisors is an integer number (1966323955680).

Almost surely, 2^{101201054952772} is an apocalyptic number.

It is an amenable number.

101201054952772 is a deficient number, since it is larger than the sum of its proper divisors (87566044792508).

101201054952772 is a wasteful number, since it uses less digits than its factorization.

101201054952772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 101201054952772 in words is "one hundred one trillion, two hundred one billion, fifty-four million, nine hundred fifty-two thousand, seven hundred seventy-two".