100102012210101 has 16 divisors (see below), whose sum is σ = 145782905785920. Its totient is φ = 60592894965120.

The previous prime is 100102012210093. The next prime is 100102012210117. The reversal of 100102012210101 is 101012210201001.

It is not a de Polignac number, because 100102012210101 - 2³ = 100102012210093 is a prime.

It is a super-2 number, since 2×100102012210101² (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 (100102012210121) 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, 1874753470 + ... + 1874806863.

It is an arithmetic number, because the mean of its divisors is an integer number (9111431611620).

Almost surely, 2^{100102012210101} is an apocalyptic number.

100102012210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102012210101 is a deficient number, since it is larger than the sum of its proper divisors (45680893575819).

100102012210101 is a wasteful number, since it uses less digits than its factorization.

100102012210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749561156.

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

Adding to 100102012210101 its reverse (101012210201001), we get a palindrome (201114222411102).

It can be divided in two parts, 100 and 102012210101, that added together give a palindrome (102012210201).

The spelling of 100102012210101 in words is "one hundred trillion, one hundred two billion, twelve million, two hundred ten thousand, one hundred one".