100212153731340 has 192 divisors, whose sum is σ = 321346775952384. Its totient is φ = 22857944159232.

The previous prime is 100212153731309. The next prime is 100212153731341. The reversal of 100212153731340 is 43137351212001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100212153731341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1405129362 + ... + 1405200678.

It is an arithmetic number, because the mean of its divisors is an integer number (1673681124752).

Almost surely, 2^{100212153731340} is an apocalyptic number.

100212153731340 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 100212153731340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160673387976192).

100212153731340 is an abundant number, since it is smaller than the sum of its proper divisors (221134622221044).

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

100212153731340 is a wasteful number, since it uses less digits than its factorization.

100212153731340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78256 (or 78254 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 100212153731340 in words is "one hundred trillion, two hundred twelve billion, one hundred fifty-three million, seven hundred thirty-one thousand, three hundred forty".