101000022101100 has 360 divisors, whose sum is σ = 344764870788800. Its totient is φ = 25506095702400.

The previous prime is 101000022101071. The next prime is 101000022101107. The reversal of 101000022101100 is 1101220000101.

It is a happy number.

It is a super-3 number, since 3×101000022101100³ (a number of 43 digits) contains 333 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 (101000022101107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409096695 + ... + 409343505.

Almost surely, 2^{101000022101100} is an apocalyptic number.

101000022101100 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 101000022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172382435394400).

101000022101100 is an abundant number, since it is smaller than the sum of its proper divisors (243764848687700).

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

101000022101100 is a wasteful number, since it uses less digits than its factorization.

101000022101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249515 (or 249499 counting only the distinct ones).

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

Adding to 101000022101100 its reverse (1101220000101), we get a palindrome (102101242101201).

The spelling of 101000022101100 in words is "one hundred one trillion, twenty-two million, one hundred one thousand, one hundred".