101211120209973 has 64 divisors (see below), whose sum is σ = 147859193954304. Its totient is φ = 61305019776000.

The previous prime is 101211120209971. The next prime is 101211120210019. The reversal of 101211120209973 is 379902021112101.

It is not a de Polignac number, because 101211120209973 - 2¹ = 101211120209971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211120209971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2621283438 + ... + 2621322048.

It is an arithmetic number, because the mean of its divisors is an integer number (2310299905536).

Almost surely, 2^{101211120209973} is an apocalyptic number.

It is an amenable number.

101211120209973 is a deficient number, since it is larger than the sum of its proper divisors (46648073744331).

101211120209973 is a wasteful number, since it uses less digits than its factorization.

101211120209973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42706.

The product of its (nonzero) digits is 13608, while the sum is 39.

The spelling of 101211120209973 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, two hundred nine thousand, nine hundred seventy-three".