100210222130130 has 192 divisors, whose sum is σ = 301122774201600. Its totient is φ = 22647710937600.

The previous prime is 100210222130129. The next prime is 100210222130143. The reversal of 100210222130130 is 31031222012001.

100210222130130 is a `hidden beast` number, since 10 + 0 + 2 + 102 + 221 + 301 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 45957016 + ... + 48088124.

It is an arithmetic number, because the mean of its divisors is an integer number (1568347782300).

Almost surely, 2^{100210222130130} is an apocalyptic number.

100210222130130 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 100210222130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150561387100800).

100210222130130 is an abundant number, since it is smaller than the sum of its proper divisors (200912552071470).

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

100210222130130 is a wasteful number, since it uses less digits than its factorization.

100210222130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131969 (or 2131966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100210222130130 its reverse (31031222012001), we get a palindrome (131241444142131).

The spelling of 100210222130130 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred thirty thousand, one hundred thirty".