101000102010112 has 18 divisors (see below), whose sum is σ = 201605672372258. Its totient is φ = 50500051004928.

The previous prime is 101000102010089. The next prime is 101000102010161. The reversal of 101000102010112 is 211010201000101.

It can be written as a sum of positive squares in only one way, i.e., 85566644050176 + 15433457959936 = 9250224^2 + 3928544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197265823983 + ... + 197265824494.

Almost surely, 2^{101000102010112} is an apocalyptic number.

It is an amenable number.

101000102010112 is a deficient number, since it is larger than the sum of its proper divisors (100605570362146).

101000102010112 is an frugal number, since it uses more digits than its factorization.

101000102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394531648493 (or 394531648479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000102010112 its reverse (211010201000101), we get a palindrome (312010303010213).

The spelling of 101000102010112 in words is "one hundred one trillion, one hundred two million, ten thousand, one hundred twelve".