100121001030 has 192 divisors, whose sum is σ = 278262915840. Its totient is φ = 24904620288.

The previous prime is 100121000971. The next prime is 100121001031. The reversal of 100121001030 is 30100121001.

It is a super-2 number, since 2×100121001030² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121001031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31652229 + ... + 31655391.

It is an arithmetic number, because the mean of its divisors is an integer number (1449286020).

Almost surely, 2^100121001030 is an apocalyptic number.

100121001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139131457920).

100121001030 is an abundant number, since it is smaller than the sum of its proper divisors (178141914810).

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

100121001030 is a wasteful number, since it uses less digits than its factorization.

100121001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100121001030 its reverse (30100121001), we get a palindrome (130221122031).

The spelling of 100121001030 in words is "one hundred billion, one hundred twenty-one million, one thousand, thirty".