101010339152100 has 2025 divisors, whose sum is σ = 398593465802763. Its totient is φ = 22125652174080.

The previous prime is 101010339152003. The next prime is 101010339152123. The reversal of 101010339152100 is 1251933010101.

It is a happy number.

The square root of 101010339152100 is 10050390.

It is a perfect power (a square), and thus also a powerful number.

101010339152100 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 103 + 39 + 1 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 760903800804 + 100249435351296 = 872298^2 + 10012464^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a super-2 number, since 2×101010339152100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 1905855455674 + ... + 1905855455726.

Almost surely, 2^{101010339152100} is an apocalyptic number.

101010339152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010339152100 is the 10050390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010339152100

101010339152100 is an abundant number, since it is smaller than the sum of its proper divisors (297583126650663).

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

101010339152100 is an frugal number, since it uses more digits than its factorization.

101010339152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 101010339152100 in words is "one hundred one trillion, ten billion, three hundred thirty-nine million, one hundred fifty-two thousand, one hundred".