101220120101100 has 864 divisors, whose sum is σ = 405019872069120. Its totient is φ = 18941285376000.

The previous prime is 101220120100973. The next prime is 101220120101117. The reversal of 101220120101100 is 1101021022101.

It is a super-2 number, since 2×101220120101100² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159743706 + ... + 160376094.

It is an arithmetic number, because the mean of its divisors is an integer number (468773000080).

Almost surely, 2^{101220120101100} is an apocalyptic number.

101220120101100 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 101220120101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202509936034560).

101220120101100 is an abundant number, since it is smaller than the sum of its proper divisors (303799751968020).

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

101220120101100 is a wasteful number, since it uses less digits than its factorization.

101220120101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632491 (or 632471 counting only the distinct ones).

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

Adding to 101220120101100 its reverse (1101021022101), we get a palindrome (102321141123201).

The spelling of 101220120101100 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty million, one hundred one thousand, one hundred".