101101012100212 has 24 divisors (see below), whose sum is σ = 187347776522760. Its totient is φ = 47573506053120.

The previous prime is 101101012100201. The next prime is 101101012100243. The reversal of 101101012100212 is 212001210101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42935465930256 + 58165546169956 = 6552516^2 + 7626634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101012100192 and 101101012100201.

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, 52815489 + ... + 54696232.

It is an arithmetic number, because the mean of its divisors is an integer number (7806157355115).

Almost surely, 2^{101101012100212} is an apocalyptic number.

It is an amenable number.

101101012100212 is a deficient number, since it is larger than the sum of its proper divisors (86246764422548).

101101012100212 is a wasteful number, since it uses less digits than its factorization.

101101012100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107525571 (or 107525569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101012100212 its reverse (212001210101101), we get a palindrome (313102222201313).

The spelling of 101101012100212 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred thousand, two hundred twelve".