101201212110200 has 96 divisors (see below), whose sum is σ = 237164843916000. Its totient is φ = 40159593546240.

The previous prime is 101201212110181. The next prime is 101201212110209. The reversal of 101201212110200 is 2011212102101.

It is a super-2 number, since 2×101201212110200² (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 (101201212110209) 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, 10070717 + ... + 17430483.

It is an arithmetic number, because the mean of its divisors is an integer number (2470467124125).

Almost surely, 2^{101201212110200} is an apocalyptic number.

101201212110200 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 101201212110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118582421958000).

101201212110200 is an abundant number, since it is smaller than the sum of its proper divisors (135963631805800).

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

101201212110200 is a wasteful number, since it uses less digits than its factorization.

101201212110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360329 (or 7360320 counting only the distinct ones).

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

Adding to 101201212110200 its reverse (2011212102101), we get a palindrome (103212424212301).

The spelling of 101201212110200 in words is "one hundred one trillion, two hundred one billion, two hundred twelve million, one hundred ten thousand, two hundred".