101211112009972 has 24 divisors (see below), whose sum is σ = 189471620858184. Its totient is φ = 47137740460032.

The previous prime is 101211112009961. The next prime is 101211112009991. The reversal of 101211112009972 is 279900211112101.

It can be written as a sum of positive squares in 4 ways, for example, as 16663344469776 + 84547767540196 = 4082076^2 + 9194986^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7672151683 + ... + 7672164874.

It is an arithmetic number, because the mean of its divisors is an integer number (7894650869091).

Almost surely, 2^{101211112009972} is an apocalyptic number.

It is an amenable number.

101211112009972 is a deficient number, since it is larger than the sum of its proper divisors (88260508848212).

101211112009972 is a wasteful number, since it uses less digits than its factorization.

101211112009972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344316675 (or 15344316673 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 37.

The spelling of 101211112009972 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, nine thousand, nine hundred seventy-two".