10201987220100 has 288 divisors, whose sum is σ = 33750040859136. Its totient is φ = 2357091532800.

The previous prime is 10201987220081. The next prime is 10201987220101. The reversal of 10201987220100 is 102278910201.

It is not an unprimeable number, because it can be changed into a prime (10201987220101) 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, 24122460 + ... + 24541740.

It is an arithmetic number, because the mean of its divisors is an integer number (117187641872).

Almost surely, 2^{10201987220100} is an apocalyptic number.

10201987220100 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 10201987220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875020429568).

10201987220100 is an abundant number, since it is smaller than the sum of its proper divisors (23548053639036).

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

10201987220100 is a wasteful number, since it uses less digits than its factorization.

10201987220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419695 (or 419688 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 10201987220100 in words is "ten trillion, two hundred one billion, nine hundred eighty-seven million, two hundred twenty thousand, one hundred".