10010122102100 has 18 divisors (see below), whose sum is σ = 21721964961774. Its totient is φ = 4004048840800.

The previous prime is 10010122102049. The next prime is 10010122102109. The reversal of 10010122102100 is 120122101001.

It can be written as a sum of positive squares in 3 ways, for example, as 2388922636996 + 7621199465104 = 1545614^2 + 2760652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122102109) 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, 50050610411 + ... + 50050610610.

Almost surely, 2^{10010122102100} is an apocalyptic number.

10010122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010122102100 is an abundant number, since it is smaller than the sum of its proper divisors (11711842859674).

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

10010122102100 is a wasteful number, since it uses less digits than its factorization.

10010122102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100101221035 (or 100101221028 counting only the distinct ones).

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

Adding to 10010122102100 its reverse (120122101001), we get a palindrome (10130244203101).

The spelling of 10010122102100 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred two thousand, one hundred".