101201021220200 has 288 divisors, whose sum is σ = 266104344586080. Its totient is φ = 35745893568000.

The previous prime is 101201021220149. The next prime is 101201021220203. The reversal of 101201021220200 is 2022120102101.

It is a super-2 number, since 2×101201021220200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201021220203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188079947 + ... + 188617253.

Almost surely, 2^{101201021220200} is an apocalyptic number.

101201021220200 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 101201021220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133052172293040).

101201021220200 is an abundant number, since it is smaller than the sum of its proper divisors (164903323365880).

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

101201021220200 is a wasteful number, since it uses less digits than its factorization.

101201021220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537569 (or 537549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101201021220200 its reverse (2022120102101), we get a palindrome (103223141322301).

The spelling of 101201021220200 in words is "one hundred one trillion, two hundred one billion, twenty-one million, two hundred twenty thousand, two hundred".