100211110102101 has 24 divisors (see below), whose sum is σ = 139036929581856. Its totient is φ = 64184012353440.

The previous prime is 100211110102039. The next prime is 100211110102121. The reversal of 100211110102101 is 101201011112001.

It is not a de Polignac number, because 100211110102101 - 2²² = 100211105907797 is a prime.

It is a super-2 number, since 2×100211110102101² (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 (100211110102121) 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, 147742135 + ... + 148418868.

It is an arithmetic number, because the mean of its divisors is an integer number (5793205399244).

Almost surely, 2^{100211110102101} is an apocalyptic number.

It is an amenable number.

100211110102101 is a deficient number, since it is larger than the sum of its proper divisors (38825819479755).

100211110102101 is an equidigital number, since it uses as much as digits as its factorization.

100211110102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296161153 (or 296161110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100211110102101 its reverse (101201011112001), we get a palindrome (201412121214102).

The spelling of 100211110102101 in words is "one hundred trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred one".