101122101000 has 320 divisors, whose sum is σ = 365675310000. Its totient is φ = 26035430400.

The previous prime is 101122100993. The next prime is 101122101007. The reversal of 101122101000 is 101221101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101122100993) and next prime (101122101007).

It can be written as a sum of positive squares in 8 ways, for example, as 17565261156 + 83556839844 = 132534^2 + 289062^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101122101007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2327476 + ... + 2370524.

Almost surely, 2^101122101000 is an apocalyptic number.

101122101000 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 101122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182837655000).

101122101000 is an abundant number, since it is smaller than the sum of its proper divisors (264553209000).

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

101122101000 is a wasteful number, since it uses less digits than its factorization.

101122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43111 (or 43088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101122101000 its reverse (101221101), we get a palindrome (101223322101).

It can be divided in two parts, 10112 and 2101000, that added together give a palindrome (2111112).

The spelling of 101122101000 in words is "one hundred one billion, one hundred twenty-two million, one hundred one thousand".