101021021002200 has 192 divisors, whose sum is σ = 337304371138560. Its totient is φ = 24863057349120.

The previous prime is 101021021002183. The next prime is 101021021002229. The reversal of 101021021002200 is 2200120120101.

It is a super-3 number, since 3×101021021002200³ (a number of 43 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52302057 + ... + 54199143.

It is an arithmetic number, because the mean of its divisors is an integer number (1756793599680).

Almost surely, 2^{101021021002200} is an apocalyptic number.

101021021002200 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 101021021002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652185569280).

101021021002200 is an abundant number, since it is smaller than the sum of its proper divisors (236283350136360).

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

101021021002200 is a wasteful number, since it uses less digits than its factorization.

101021021002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903946 (or 1903937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101021021002200 its reverse (2200120120101), we get a palindrome (103221141122301).

The spelling of 101021021002200 in words is "one hundred one trillion, twenty-one billion, twenty-one million, two thousand, two hundred".