101211323022100 has 18 divisors (see below), whose sum is σ = 219628570958174. Its totient is φ = 40484529208800.

The previous prime is 101211323022067. The next prime is 101211323022101. The reversal of 101211323022100 is 1220323112101.

It can be written as a sum of positive squares in 3 ways, for example, as 12263751857296 + 88947571164804 = 3501964^2 + 9431202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211323022101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506056615011 + ... + 506056615210.

Almost surely, 2^{101211323022100} is an apocalyptic number.

101211323022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211323022100 is an abundant number, since it is smaller than the sum of its proper divisors (118417247936074).

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

101211323022100 is a wasteful number, since it uses less digits than its factorization.

101211323022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012113230235 (or 1012113230228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101211323022100 its reverse (1220323112101), we get a palindrome (102431646134201).

Subtracting from 101211323022100 its reverse (1220323112101), we obtain a palindrome (99990999909999).

The spelling of 101211323022100 in words is "one hundred one trillion, two hundred eleven billion, three hundred twenty-three million, twenty-two thousand, one hundred".