101012200201120 has 384 divisors, whose sum is σ = 271829837260800. Its totient is φ = 35203919020032.

The previous prime is 101012200201079. The next prime is 101012200201141. The reversal of 101012200201120 is 21102002210101.

It is a super-2 number, since 2×101012200201120² (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 self number, because there is not a number n which added to its sum of digits gives 101012200201120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2514660396 + ... + 2514700564.

It is an arithmetic number, because the mean of its divisors is an integer number (707890201200).

Almost surely, 2^{101012200201120} is an apocalyptic number.

101012200201120 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 101012200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135914918630400).

101012200201120 is an abundant number, since it is smaller than the sum of its proper divisors (170817637059680).

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

101012200201120 is a wasteful number, since it uses less digits than its factorization.

101012200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41160 (or 41152 counting only the distinct ones).

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

Adding to 101012200201120 its reverse (21102002210101), we get a palindrome (122114202411221).

The spelling of 101012200201120 in words is "one hundred one trillion, twelve billion, two hundred million, two hundred one thousand, one hundred twenty".