101201102011100 has 288 divisors, whose sum is σ = 270663693081600. Its totient is φ = 31983621120000.

The previous prime is 101201102011099. The next prime is 101201102011123. The reversal of 101201102011100 is 1110201102101.

It is a super-2 number, since 2×101201102011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31934710316 + ... + 31934713484.

Almost surely, 2^{101201102011100} is an apocalyptic number.

101201102011100 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 101201102011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331846540800).

101201102011100 is an abundant number, since it is smaller than the sum of its proper divisors (169462591070500).

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

101201102011100 is a wasteful number, since it uses less digits than its factorization.

101201102011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101201102011100 its reverse (1110201102101), we get a palindrome (102311303113201).

The spelling of 101201102011100 in words is "one hundred one trillion, two hundred one billion, one hundred two million, eleven thousand, one hundred".