101201002211100 has 432 divisors, whose sum is σ = 329960193696000. Its totient is φ = 23916089472000.

The previous prime is 101201002211087. The next prime is 101201002211137. The reversal of 101201002211100 is 1112200102101.

101201002211100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1909462401 + ... + 1909515399.

Almost surely, 2^{101201002211100} is an apocalyptic number.

101201002211100 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 101201002211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164980096848000).

101201002211100 is an abundant number, since it is smaller than the sum of its proper divisors (228759191484900).

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

101201002211100 is a wasteful number, since it uses less digits than its factorization.

101201002211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54362 (or 54344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201002211100 its reverse (1112200102101), we get a palindrome (102313202313201).

The spelling of 101201002211100 in words is "one hundred one trillion, two hundred one billion, two million, two hundred eleven thousand, one hundred".