100022101101120 has 336 divisors, whose sum is σ = 358498930797504. Its totient is φ = 23592435609600.

The previous prime is 100022101101119. The next prime is 100022101101163. The reversal of 100022101101120 is 21101101220001.

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 = 100022101101096 and 100022101101105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7338186 + ... + 15934025.

It is an arithmetic number, because the mean of its divisors is an integer number (1066961103564).

Almost surely, 2^{100022101101120} is an apocalyptic number.

100022101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022101101120 is an abundant number, since it is smaller than the sum of its proper divisors (258476829696384).

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

100022101101120 is a wasteful number, since it uses less digits than its factorization.

100022101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272290 (or 23272269 counting only the distinct ones).

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

Adding to 100022101101120 its reverse (21101101220001), we get a palindrome (121123202321121).

The spelling of 100022101101120 in words is "one hundred trillion, twenty-two billion, one hundred one million, one hundred one thousand, one hundred twenty".