101200212012100 has 18 divisors (see below), whose sum is σ = 219604460066474. Its totient is φ = 40480084804800.

The previous prime is 101200212012089. The next prime is 101200212012139. The reversal of 101200212012100 is 1210212002101.

It can be written as a sum of positive squares in 3 ways, for example, as 19386884526916 + 81813327485184 = 4403054^2 + 9045072^2 .

It is a super-2 number, since 2×101200212012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506001059961 + ... + 506001060160.

Almost surely, 2^{101200212012100} is an apocalyptic number.

101200212012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200212012100 is an abundant number, since it is smaller than the sum of its proper divisors (118404248054374).

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

101200212012100 is a wasteful number, since it uses less digits than its factorization.

101200212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012002120135 (or 1012002120128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200212012100 its reverse (1210212002101), we get a palindrome (102410424014201).

Subtracting from 101200212012100 its reverse (1210212002101), we obtain a palindrome (99990000009999).

The spelling of 101200212012100 in words is "one hundred one trillion, two hundred billion, two hundred twelve million, twelve thousand, one hundred".