101202002202000 has 640 divisors, whose sum is σ = 375791354385408. Its totient is φ = 22951821312000.

The previous prime is 101202002201977. The next prime is 101202002202029. The reversal of 101202002202000 is 202200202101.

It is a super-2 number, since 2×101202002202000² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19339191384 + ... + 19339196616.

Almost surely, 2^{101202002202000} is an apocalyptic number.

101202002202000 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 101202002202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187895677192704).

101202002202000 is an abundant number, since it is smaller than the sum of its proper divisors (274589352183408).

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

101202002202000 is a wasteful number, since it uses less digits than its factorization.

101202002202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101202002202000 its reverse (202200202101), we get a palindrome (101404202404101).

The spelling of 101202002202000 in words is "one hundred one trillion, two hundred two billion, two million, two hundred two thousand".