100212210201101 has 16 divisors (see below), whose sum is σ = 104744713920000. Its totient is φ = 95766014232000.

The previous prime is 100212210201031. The next prime is 100212210201107. The reversal of 100212210201101 is 101102012212001.

It is a cyclic number.

It is not a de Polignac number, because 100212210201101 - 2³⁴ = 100195030331917 is a prime.

It is a super-2 number, since 2×100212210201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212210201107) 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, 41038226 + ... + 43411523.

It is an arithmetic number, because the mean of its divisors is an integer number (6546544620000).

Almost surely, 2^{100212210201101} is an apocalyptic number.

It is an amenable number.

100212210201101 is a deficient number, since it is larger than the sum of its proper divisors (4532503718899).

100212210201101 is a wasteful number, since it uses less digits than its factorization.

100212210201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84450260.

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

Adding to 100212210201101 its reverse (101102012212001), we get a palindrome (201314222413102).

The spelling of 100212210201101 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, two hundred one thousand, one hundred one".