10121112203010 has 128 divisors (see below), whose sum is σ = 24853557141504. Its totient is φ = 2636638775040.

The previous prime is 10121112203003. The next prime is 10121112203021. The reversal of 10121112203010 is 1030221112101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2102867364 + ... + 2102872176.

It is an arithmetic number, because the mean of its divisors is an integer number (194168415168).

Almost surely, 2^{10121112203010} is an apocalyptic number.

10121112203010 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 10121112203010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426778570752).

10121112203010 is an abundant number, since it is smaller than the sum of its proper divisors (14732444938494).

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

10121112203010 is a wasteful number, since it uses less digits than its factorization.

10121112203010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121112203010 its reverse (1030221112101), we get a palindrome (11151333315111).

The spelling of 10121112203010 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, two hundred three thousand, ten".