101201210102200 has 192 divisors, whose sum is σ = 260770843660320. Its totient is φ = 36282629376000.

The previous prime is 101201210102189. The next prime is 101201210102203. The reversal of 101201210102200 is 2201012102101.

It is a super-2 number, since 2×101201210102200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201210102203) 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, 46162930 + ... + 48305470.

Almost surely, 2^{101201210102200} is an apocalyptic number.

101201210102200 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 101201210102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130385421830160).

101201210102200 is an abundant number, since it is smaller than the sum of its proper divisors (159569633558120).

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

101201210102200 is a wasteful number, since it uses less digits than its factorization.

101201210102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143098 (or 2143089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101201210102200 its reverse (2201012102101), we get a palindrome (103402222204301).

The spelling of 101201210102200 in words is "one hundred one trillion, two hundred one billion, two hundred ten million, one hundred two thousand, two hundred".