10101022100100 has 648 divisors, whose sum is σ = 34444627668360. Its totient is φ = 2471148933120.

The previous prime is 10101022100077. The next prime is 10101022100107. The reversal of 10101022100100 is 100122010101.

It is a happy number.

10101022100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2555419650624 + 7545602449476 = 1598568^2 + 2746926^2 .

It is a super-2 number, since 2×10101022100100² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10101022100107) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1785576472 + ... + 1785582128.

Almost surely, 2^{10101022100100} is an apocalyptic number.

10101022100100 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 10101022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222313834180).

10101022100100 is an abundant number, since it is smaller than the sum of its proper divisors (24343605568260).

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

10101022100100 is a wasteful number, since it uses less digits than its factorization.

10101022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101022100100 its reverse (100122010101), we get a palindrome (10201144110201).

The spelling of 10101022100100 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred thousand, one hundred".