101012111210200 has 192 divisors, whose sum is σ = 247613169600000. Its totient is φ = 38216483873280.

The previous prime is 101012111210177. The next prime is 101012111210201. The reversal of 101012111210200 is 2012111210101.

It is a happy number.

It is a super-2 number, since 2×101012111210200² (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 (101012111210201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10266496881 + ... + 10266506719.

It is an arithmetic number, because the mean of its divisors is an integer number (1289651925000).

Almost surely, 2^{101012111210200} is an apocalyptic number.

101012111210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012111210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123806584800000).

101012111210200 is an abundant number, since it is smaller than the sum of its proper divisors (146601058389800).

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

101012111210200 is a wasteful number, since it uses less digits than its factorization.

101012111210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13953 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012111210200 its reverse (2012111210101), we get a palindrome (103024222420301).

Subtracting from 101012111210200 its reverse (2012111210101), we obtain a palindrome (99000000000099).

The spelling of 101012111210200 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two hundred ten thousand, two hundred".