10101121210100 has 36 divisors (see below), whose sum is σ = 21921002072844. Its totient is φ = 4040159258880.

The previous prime is 10101121210093. The next prime is 10101121210139. The reversal of 10101121210100 is 101212110101.

It can be written as a sum of positive squares in 6 ways, for example, as 12582557584 + 10088538652516 = 112172^2 + 3176246^2 .

It is a super-2 number, since 2×10101121210100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2208617 + ... + 5008016.

Almost surely, 2^{10101121210100} is an apocalyptic number.

10101121210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101121210100 is an abundant number, since it is smaller than the sum of its proper divisors (11819880862744).

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

10101121210100 is a wasteful number, since it uses less digits than its factorization.

10101121210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230644 (or 7230637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101121210100 its reverse (101212110101), we get a palindrome (10202333320201).

Subtracting from 10101121210100 its reverse (101212110101), we obtain a palindrome (9999909099999).

The spelling of 10101121210100 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, two hundred ten thousand, one hundred".