101120100101200 has 120 divisors (see below), whose sum is σ = 244074688389792. Its totient is φ = 40259731944960.

The previous prime is 101120100101117. The next prime is 101120100101203. The reversal of 101120100101200 is 2101001021101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120100101203) 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, 73477827 + ... + 74841373.

Almost surely, 2^{101120100101200} is an apocalyptic number.

101120100101200 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 101120100101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122037344194896).

101120100101200 is an abundant number, since it is smaller than the sum of its proper divisors (142954588288592).

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

101120100101200 is a wasteful number, since it uses less digits than its factorization.

101120100101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364429 (or 1364418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101120100101200 its reverse (2101001021101), we get a palindrome (103221101122301).

The spelling of 101120100101200 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred one thousand, two hundred".