122123100333100 has 288 divisors, whose sum is σ = 284345213866560. Its totient is φ = 45365338275840.

The previous prime is 122123100333097. The next prime is 122123100333119. The reversal of 122123100333100 is 1333001321221.

It is a super-2 number, since 2×122123100333100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69665201824 + ... + 69665203576.

It is an arithmetic number, because the mean of its divisors is an integer number (987309770370).

Almost surely, 2^{122123100333100} is an apocalyptic number.

122123100333100 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 122123100333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142172606933280).

122123100333100 is an abundant number, since it is smaller than the sum of its proper divisors (162222113533460).

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

122123100333100 is a wasteful number, since it uses less digits than its factorization.

122123100333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122123100333100 its reverse (1333001321221), we get a palindrome (123456101654321).

The spelling of 122123100333100 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred million, three hundred thirty-three thousand, one hundred".