10100121100020 has 192 divisors, whose sum is σ = 35918280437760. Its totient is φ = 2308165905024.

The previous prime is 10100121099997. The next prime is 10100121100051. The reversal of 10100121100020 is 2000112100101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100121099975 and 10100121100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20114857 + ... + 20610863.

It is an arithmetic number, because the mean of its divisors is an integer number (187074377280).

Almost surely, 2^{10100121100020} is an apocalyptic number.

10100121100020 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 10100121100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959140218880).

10100121100020 is an abundant number, since it is smaller than the sum of its proper divisors (25818159337740).

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

10100121100020 is a wasteful number, since it uses less digits than its factorization.

10100121100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501419 (or 501411 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100121100020 its reverse (2000112100101), we get a palindrome (12100233200121).

The spelling of 10100121100020 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, twenty".