101200120210100 has 36 divisors (see below), whose sum is σ = 223204330719468. Its totient is φ = 39816440736000.

The previous prime is 101200120210069. The next prime is 101200120210103. The reversal of 101200120210100 is 1012021002101.

It can be written as a sum of positive squares in 6 ways, for example, as 44453609361316 + 56746510848784 = 6667354^2 + 7533028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200120210103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8295085721 + ... + 8295097920.

It is an arithmetic number, because the mean of its divisors is an integer number (6200120297763).

Almost surely, 2^{101200120210100} is an apocalyptic number.

101200120210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200120210100 is an abundant number, since it is smaller than the sum of its proper divisors (122004210509368).

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

101200120210100 is a wasteful number, since it uses less digits than its factorization.

101200120210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16590183716 (or 16590183709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101200120210100 its reverse (1012021002101), we get a palindrome (102212141212201).

The spelling of 101200120210100 in words is "one hundred one trillion, two hundred billion, one hundred twenty million, two hundred ten thousand, one hundred".