10101100009980 has 192 divisors, whose sum is σ = 32494042183680. Its totient is φ = 2296647392256.

The previous prime is 10101100009919. The next prime is 10101100009981. The reversal of 10101100009980 is 8990000110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100009981) 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, 592327134 + ... + 592344186.

It is an arithmetic number, because the mean of its divisors is an integer number (169239803040).

Almost surely, 2^{10101100009980} is an apocalyptic number.

10101100009980 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 10101100009980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16247021091840).

10101100009980 is an abundant number, since it is smaller than the sum of its proper divisors (22392942173700).

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

10101100009980 is a wasteful number, since it uses less digits than its factorization.

10101100009980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24428 (or 24426 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 10101100009980 in words is "ten trillion, one hundred one billion, one hundred million, nine thousand, nine hundred eighty".