100212022011101 has 48 divisors (see below), whose sum is σ = 136969686741888. Its totient is φ = 72071841744000.

The previous prime is 100212022011097. The next prime is 100212022011103. The reversal of 100212022011101 is 101110220212001.

It is not a de Polignac number, because 100212022011101 - 2² = 100212022011097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212022011103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57246776 + ... + 58971326.

It is an arithmetic number, because the mean of its divisors is an integer number (2853535140456).

Almost surely, 2^{100212022011101} is an apocalyptic number.

100212022011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212022011101 is a deficient number, since it is larger than the sum of its proper divisors (36757664730787).

100212022011101 is a wasteful number, since it uses less digits than its factorization.

100212022011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732882 (or 1732875 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212022011101 its reverse (101110220212001), we get a palindrome (201322242223102).

The spelling of 100212022011101 in words is "one hundred trillion, two hundred twelve billion, twenty-two million, eleven thousand, one hundred one".