101211001102200 has 96 divisors (see below), whose sum is σ = 342277203749760. Its totient is φ = 24536000265600.

The previous prime is 101211001102199. The next prime is 101211001102201. The reversal of 101211001102200 is 2201100112101.

It is an interprime number because it is at equal distance from previous prime (101211001102199) and next prime (101211001102201).

It is a super-2 number, since 2×101211001102200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211001102201) 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, 7667493484 + ... + 7667506683.

It is an arithmetic number, because the mean of its divisors is an integer number (3565387539060).

Almost surely, 2^{101211001102200} is an apocalyptic number.

101211001102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211001102200 is an abundant number, since it is smaller than the sum of its proper divisors (241066202647560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211001102200 is a wasteful number, since it uses less digits than its factorization.

101211001102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335000197 (or 15335000188 counting only the distinct ones).

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

Adding to 101211001102200 its reverse (2201100112101), we get a palindrome (103412101214301).

Subtracting from 101211001102200 its reverse (2201100112101), we obtain a palindrome (99009900990099).

The spelling of 101211001102200 in words is "one hundred one trillion, two hundred eleven billion, one million, one hundred two thousand, two hundred".