101121201121010 has 256 divisors, whose sum is σ = 225361767628800. Its totient is φ = 31924697011200.

The previous prime is 101121201120971. The next prime is 101121201121013. The reversal of 101121201121010 is 10121102121101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101121201121013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16705961144 + ... + 16705967196.

It is an arithmetic number, because the mean of its divisors is an integer number (880319404800).

Almost surely, 2^{101121201121010} is an apocalyptic number.

101121201121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121201121010 is an abundant number, since it is smaller than the sum of its proper divisors (124240566507790).

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

101121201121010 is a wasteful number, since it uses less digits than its factorization.

101121201121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101121201121010 its reverse (10121102121101), we get a palindrome (111242303242111).

The spelling of 101121201121010 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, ten".