101110000211012 has 48 divisors (see below), whose sum is σ = 203842514942640. Its totient is φ = 43468291325952.

The previous prime is 101110000210991. The next prime is 101110000211021. The reversal of 101110000211012 is 210112000011101.

It can be written as a sum of positive squares in 8 ways, for example, as 12075791800576 + 89034208410436 = 3475024^2 + 9435794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101110000210984 and 101110000211002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589490687 + ... + 589662182.

It is an arithmetic number, because the mean of its divisors is an integer number (4246719061305).

Almost surely, 2^{101110000211012} is an apocalyptic number.

It is an amenable number.

101110000211012 is an abundant number, since it is smaller than the sum of its proper divisors (102732514731628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110000211012 is a wasteful number, since it uses less digits than its factorization.

101110000211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179153000 (or 1179152998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110000211012 its reverse (210112000011101), we get a palindrome (311222000222113).

The spelling of 101110000211012 in words is "one hundred one trillion, one hundred ten billion, two hundred eleven thousand, twelve".