101101121012010 has 256 divisors, whose sum is σ = 280880151552000. Its totient is φ = 22812465798144.

The previous prime is 101101121011999. The next prime is 101101121012053. The reversal of 101101121012010 is 10210121101101.

101101121012010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19827634441 + ... + 19827639539.

It is an arithmetic number, because the mean of its divisors is an integer number (1097188092000).

Almost surely, 2^{101101121012010} is an apocalyptic number.

101101121012010 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 101101121012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140440075776000).

101101121012010 is an abundant number, since it is smaller than the sum of its proper divisors (179779030539990).

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

101101121012010 is a wasteful number, since it uses less digits than its factorization.

101101121012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101121012010 its reverse (10210121101101), we get a palindrome (111311242113111).

The spelling of 101101121012010 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, ten".