100012012102101 has 32 divisors (see below), whose sum is σ = 146237873135616. Its totient is φ = 60294252528000.

The previous prime is 100012012102091. The next prime is 100012012102109. The reversal of 100012012102101 is 101201210210001.

It is not a de Polignac number, because 100012012102101 - 2⁵ = 100012012102069 is a prime.

It is a super-2 number, since 2×100012012102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012012102109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237709161 + ... + 238129521.

It is an arithmetic number, because the mean of its divisors is an integer number (4569933535488).

Almost surely, 2^{100012012102101} is an apocalyptic number.

100012012102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012012102101 is a deficient number, since it is larger than the sum of its proper divisors (46225861033515).

100012012102101 is a wasteful number, since it uses less digits than its factorization.

100012012102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458313.

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

Adding to 100012012102101 its reverse (101201210210001), we get a palindrome (201213222312102).

It can be divided in two parts, 10001 and 2012102101, that added together give a palindrome (2012112102).

The spelling of 100012012102101 in words is "one hundred trillion, twelve billion, twelve million, one hundred two thousand, one hundred one".