101201114040 has 512 divisors, whose sum is σ = 343816704000. Its totient is φ = 23811121152.

The previous prime is 101201114029. The next prime is 101201114089. The reversal of 101201114040 is 40411102101.

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

It is a congruent number.

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, 895585024 + ... + 895585136.

It is an arithmetic number, because the mean of its divisors is an integer number (671517000).

Almost surely, 2^101201114040 is an apocalyptic number.

101201114040 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 101201114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171908352000).

101201114040 is an abundant number, since it is smaller than the sum of its proper divisors (242615589960).

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

101201114040 is a wasteful number, since it uses less digits than its factorization.

101201114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101201114040 its reverse (40411102101), we get a palindrome (141612216141).

The spelling of 101201114040 in words is "one hundred one billion, two hundred one million, one hundred fourteen thousand, forty".