122101000 has 64 divisors (see below), whose sum is σ = 326551680. Its totient is φ = 41860800.

The previous prime is 122100977. The next prime is 122101003. The reversal of 122101000 is 101221.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (122101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 15721.

It is an arithmetic number, because the mean of its divisors is an integer number (5102370).

Almost surely, 2^122101000 is an apocalyptic number.

122101000 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 122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275840).

122101000 is an abundant number, since it is smaller than the sum of its proper divisors (204450680).

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

122101000 is a wasteful number, since it uses less digits than its factorization.

122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17471 (or 17457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 122101000 is about 11049.9321264884. The cubic root of 122101000 is about 496.1043939994.

Adding to 122101000 its reverse (101221), we get a palindrome (122202221).

It can be divided in two parts, 12 and 2101000, that added together give a palindrome (2101012).

The spelling of 122101000 in words is "one hundred twenty-two million, one hundred one thousand".