101021222101120 has 256 divisors, whose sum is σ = 251734878000000. Its totient is φ = 38718746099712.

The previous prime is 101021222101097. The next prime is 101021222101127. The reversal of 101021222101120 is 21101222120101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101021222101094 and 101021222101103.

It is not an unprimeable number, because it can be changed into a prime (101021222101127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657767292 + ... + 1657828228.

Almost surely, 2^{101021222101120} is an apocalyptic number.

101021222101120 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 101021222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125867439000000).

101021222101120 is an abundant number, since it is smaller than the sum of its proper divisors (150713655898880).

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

101021222101120 is a wasteful number, since it uses less digits than its factorization.

101021222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61663 (or 61651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101021222101120 its reverse (21101222120101), we get a palindrome (122122444221221).

The spelling of 101021222101120 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".