10100121012200 has 24 divisors (see below), whose sum is σ = 23482781353830. Its totient is φ = 4040048404800.

The previous prime is 10100121012197. The next prime is 10100121012221. The reversal of 10100121012200 is 221012100101.

It can be written as a sum of positive squares in 3 ways, for example, as 8725088038276 + 1375032973924 = 2953826^2 + 1172618^2 .

It is a super-2 number, since 2×10100121012200² (a number of 27 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, 25250302331 + ... + 25250302730.

Almost surely, 2^{10100121012200} is an apocalyptic number.

10100121012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100121012200 is an abundant number, since it is smaller than the sum of its proper divisors (13382660341630).

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

10100121012200 is a wasteful number, since it uses less digits than its factorization.

10100121012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50500605077 (or 50500605068 counting only the distinct ones).

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

Adding to 10100121012200 its reverse (221012100101), we get a palindrome (10321133112301).

The spelling of 10100121012200 in words is "ten trillion, one hundred billion, one hundred twenty-one million, twelve thousand, two hundred".