2112100102101 has 16 divisors (see below), whose sum is σ = 3076302804480. Its totient is φ = 1278328500720.

The previous prime is 2112100102093. The next prime is 2112100102121. The reversal of 2112100102101 is 1012010012112.

It is not a de Polignac number, because 2112100102101 - 2³ = 2112100102093 is a prime.

It is a super-2 number, since 2×2112100102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43279425 + ... + 43328198.

It is an arithmetic number, because the mean of its divisors is an integer number (192268925280).

Almost surely, 2^{2112100102101} is an apocalyptic number.

It is an amenable number.

2112100102101 is a deficient number, since it is larger than the sum of its proper divisors (964202702379).

2112100102101 is a wasteful number, since it uses less digits than its factorization.

2112100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86608376.

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

Adding to 2112100102101 its reverse (1012010012112), we get a palindrome (3124110114213).

The spelling of 2112100102101 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred two thousand, one hundred one".