101011101211100 has 72 divisors (see below), whose sum is σ = 222923321525520. Its totient is φ = 39717110970880.

The previous prime is 101011101211073. The next prime is 101011101211109. The reversal of 101011101211100 is 1112101110101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101211109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94298114 + ... + 95363286.

It is an arithmetic number, because the mean of its divisors is an integer number (3096157243410).

Almost surely, 2^{101011101211100} is an apocalyptic number.

101011101211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011101211100 is an abundant number, since it is smaller than the sum of its proper divisors (121912220314420).

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

101011101211100 is a wasteful number, since it uses less digits than its factorization.

101011101211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081319 (or 1081312 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011101211100 its reverse (1112101110101), we get a palindrome (102123202321201).

The spelling of 101011101211100 in words is "one hundred one trillion, eleven billion, one hundred one million, two hundred eleven thousand, one hundred".