101000030102100 has 864 divisors, whose sum is σ = 349433929484640. Its totient is φ = 24295399096320.

The previous prime is 101000030102071. The next prime is 101000030102161. The reversal of 101000030102100 is 1201030000101.

It can be written as a sum of positive squares in 48 ways, for example, as 88223151427524 + 12776878674576 = 9392718^2 + 3574476^2 .

It is a super-2 number, since 2×101000030102100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13956059682 + ... + 13956066918.

It is an arithmetic number, because the mean of its divisors is an integer number (404437418385).

Almost surely, 2^{101000030102100} is an apocalyptic number.

101000030102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000030102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174716964742320).

101000030102100 is an abundant number, since it is smaller than the sum of its proper divisors (248433899382540).

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

101000030102100 is a wasteful number, since it uses less digits than its factorization.

101000030102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101000030102100 its reverse (1201030000101), we get a palindrome (102201060102201).

The spelling of 101000030102100 in words is "one hundred one trillion, thirty million, one hundred two thousand, one hundred".