101202020001120 has 192 divisors, whose sum is σ = 327467939339520. Its totient is φ = 26252549941248.

The previous prime is 101202020001119. The next prime is 101202020001143. The reversal of 101202020001120 is 21100020202101.

101202020001120 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101202020001096 and 101202020001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88283791 + ... + 89422769.

It is an arithmetic number, because the mean of its divisors is an integer number (1705562184060).

Almost surely, 2^{101202020001120} is an apocalyptic number.

101202020001120 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 101202020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163733969669760).

101202020001120 is an abundant number, since it is smaller than the sum of its proper divisors (226265919338400).

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

101202020001120 is a wasteful number, since it uses less digits than its factorization.

101202020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144037 (or 1144029 counting only the distinct ones).

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

Adding to 101202020001120 its reverse (21100020202101), we get a palindrome (122302040203221).

The spelling of 101202020001120 in words is "one hundred one trillion, two hundred two billion, twenty million, one thousand, one hundred twenty".