101221100001120 has 192 divisors, whose sum is σ = 349275800079360. Its totient is φ = 24436628889600.

The previous prime is 101221100001101. The next prime is 101221100001143. The reversal of 101221100001120 is 21100001122101.

It is a super-2 number, since 2×101221100001120² (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 a junction number, because it is equal to n+sod(n) for n = 101221100001096 and 101221100001105.

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, 38500680 + ... + 41045639.

It is an arithmetic number, because the mean of its divisors is an integer number (1819144792080).

Almost surely, 2^{101221100001120} is an apocalyptic number.

101221100001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221100001120 is an abundant number, since it is smaller than the sum of its proper divisors (248054700078240).

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

101221100001120 is a wasteful number, since it uses less digits than its factorization.

101221100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79546589 (or 79546581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221100001120 its reverse (21100001122101), we get a palindrome (122321101123221).

The spelling of 101221100001120 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, one thousand, one hundred twenty".