101102011100100 has 432 divisors, whose sum is σ = 325351205315136. Its totient is φ = 26252328960000.

The previous prime is 101102011100029. The next prime is 101102011100159. The reversal of 101102011100100 is 1001110201101.

It is a super-2 number, since 2×101102011100100² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2030095200 + ... + 2030145000.

Almost surely, 2^{101102011100100} is an apocalyptic number.

101102011100100 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 101102011100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162675602657568).

101102011100100 is an abundant number, since it is smaller than the sum of its proper divisors (224249194215036).

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

101102011100100 is a wasteful number, since it uses less digits than its factorization.

101102011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50276 (or 50266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101102011100100 its reverse (1001110201101), we get a palindrome (102103121301201).

The spelling of 101102011100100 in words is "one hundred one trillion, one hundred two billion, eleven million, one hundred thousand, one hundred".